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Finding the Fourth Proportional to 667.19, 1,000.64 and 180.14

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Solution

The fourth proportional to 667.19, 1,000.64 and 180.14 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.19 : 1,000.64 = 180.14 : x
  2. Step 2: Convert to fraction form
    667.19/1,000.64 = 180.14/x
  3. Step 3: Cross multiply
    667.19x = 1,000.64 × 180.14
  4. Step 4: Simplify right side
    667.19x = 180,250.74
  5. Step 5: Solve for x
    x = 180,250.74/667.19
  6. Step 6: Final answer
    x = 270.16

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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.