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Finding the Fourth Proportional to 504.84, 757.16 and 139.54

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Solution

The fourth proportional to 504.84, 757.16 and 139.54 is: 209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 757.16 = 139.54 : x
  2. Step 2: Convert to fraction form
    504.84/757.16 = 139.54/x
  3. Step 3: Cross multiply
    504.84x = 757.16 × 139.54
  4. Step 4: Simplify right side
    504.84x = 105,654.11
  5. Step 5: Solve for x
    x = 105,654.11/504.84
  6. Step 6: Final answer
    x = 209.28

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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.