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Finding the Fourth Proportional to 372.66, 559 and 141.42

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Solution

The fourth proportional to 372.66, 559 and 141.42 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.66 : 559 = 141.42 : x
  2. Step 2: Convert to fraction form
    372.66/559 = 141.42/x
  3. Step 3: Cross multiply
    372.66x = 559 × 141.42
  4. Step 4: Simplify right side
    372.66x = 79,053.78
  5. Step 5: Solve for x
    x = 79,053.78/372.66
  6. Step 6: Final answer
    x = 212.13

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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.