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Finding the Fourth Proportional to 372.84, 559.48 and 141.88

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Solution

The fourth proportional to 372.84, 559.48 and 141.88 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 559.48 = 141.88 : x
  2. Step 2: Convert to fraction form
    372.84/559.48 = 141.88/x
  3. Step 3: Cross multiply
    372.84x = 559.48 × 141.88
  4. Step 4: Simplify right side
    372.84x = 79,379.02
  5. Step 5: Solve for x
    x = 79,379.02/372.84
  6. Step 6: Final answer
    x = 212.90

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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.