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Finding the Fourth Proportional to 503.66, 755.38 and 138.46

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Solution

The fourth proportional to 503.66, 755.38 and 138.46 is: 207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.66 : 755.38 = 138.46 : x
  2. Step 2: Convert to fraction form
    503.66/755.38 = 138.46/x
  3. Step 3: Cross multiply
    503.66x = 755.38 × 138.46
  4. Step 4: Simplify right side
    503.66x = 104,589.91
  5. Step 5: Solve for x
    x = 104,589.91/503.66
  6. Step 6: Final answer
    x = 207.66

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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.