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Finding the Fourth Proportional to 503.38, 755.06 and 138.16

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Solution

The fourth proportional to 503.38, 755.06 and 138.16 is: 207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.38 : 755.06 = 138.16 : x
  2. Step 2: Convert to fraction form
    503.38/755.06 = 138.16/x
  3. Step 3: Cross multiply
    503.38x = 755.06 × 138.16
  4. Step 4: Simplify right side
    503.38x = 104,319.09
  5. Step 5: Solve for x
    x = 104,319.09/503.38
  6. Step 6: Final answer
    x = 207.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.