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Finding the Fourth Proportional to 667.16, 1,000.05 and 256.19

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Solution

The fourth proportional to 667.16, 1,000.05 and 256.19 is: 384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.16 : 1,000.05 = 256.19 : x
  2. Step 2: Convert to fraction form
    667.16/1,000.05 = 256.19/x
  3. Step 3: Cross multiply
    667.16x = 1,000.05 × 256.19
  4. Step 4: Simplify right side
    667.16x = 256,202.81
  5. Step 5: Solve for x
    x = 256,202.81/667.16
  6. Step 6: Final answer
    x = 384.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.