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Finding the Fourth Proportional to 372.83, 558.82 and 141.57

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Solution

The fourth proportional to 372.83, 558.82 and 141.57 is: 212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.83 : 558.82 = 141.57 : x
  2. Step 2: Convert to fraction form
    372.83/558.82 = 141.57/x
  3. Step 3: Cross multiply
    372.83x = 558.82 × 141.57
  4. Step 4: Simplify right side
    372.83x = 79,111.79
  5. Step 5: Solve for x
    x = 79,111.79/372.83
  6. Step 6: Final answer
    x = 212.20

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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.