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Finding the Fourth Proportional to 504.68, 757.16 and 180.07

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Solution

The fourth proportional to 504.68, 757.16 and 180.07 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.68 : 757.16 = 180.07 : x
  2. Step 2: Convert to fraction form
    504.68/757.16 = 180.07/x
  3. Step 3: Cross multiply
    504.68x = 757.16 × 180.07
  4. Step 4: Simplify right side
    504.68x = 136,337.12
  5. Step 5: Solve for x
    x = 136,337.12/504.68
  6. Step 6: Final answer
    x = 270.15

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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.