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Finding the Fourth Proportional to 504.48, 756.74 and 139.27

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Solution

The fourth proportional to 504.48, 756.74 and 139.27 is: 208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.48 : 756.74 = 139.27 : x
  2. Step 2: Convert to fraction form
    504.48/756.74 = 139.27/x
  3. Step 3: Cross multiply
    504.48x = 756.74 × 139.27
  4. Step 4: Simplify right side
    504.48x = 105,391.18
  5. Step 5: Solve for x
    x = 105,391.18/504.48
  6. Step 6: Final answer
    x = 208.91

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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.