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Finding the Fourth Proportional to 503.13, 754.73 and 137.91

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Solution

The fourth proportional to 503.13, 754.73 and 137.91 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.13 : 754.73 = 137.91 : x
  2. Step 2: Convert to fraction form
    503.13/754.73 = 137.91/x
  3. Step 3: Cross multiply
    503.13x = 754.73 × 137.91
  4. Step 4: Simplify right side
    503.13x = 104,085.16
  5. Step 5: Solve for x
    x = 104,085.16/503.13
  6. Step 6: Final answer
    x = 206.88

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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.