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Finding the Fourth Proportional to 667.10, 1,000.10 and 256.01

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Solution

The fourth proportional to 667.10, 1,000.10 and 256.01 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.10 : 1,000.10 = 256.01 : x
  2. Step 2: Convert to fraction form
    667.10/1,000.10 = 256.01/x
  3. Step 3: Cross multiply
    667.10x = 1,000.10 × 256.01
  4. Step 4: Simplify right side
    667.10x = 256,034.32
  5. Step 5: Solve for x
    x = 256,034.32/667.10
  6. Step 6: Final answer
    x = 383.80

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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.