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Finding the Fourth Proportional to 504.32, 756.53 and 139.11

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Solution

The fourth proportional to 504.32, 756.53 and 139.11 is: 208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.32 : 756.53 = 139.11 : x
  2. Step 2: Convert to fraction form
    504.32/756.53 = 139.11/x
  3. Step 3: Cross multiply
    504.32x = 756.53 × 139.11
  4. Step 4: Simplify right side
    504.32x = 105,240.89
  5. Step 5: Solve for x
    x = 105,240.89/504.32
  6. Step 6: Final answer
    x = 208.68

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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.