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Finding the Fourth Proportional to 574.65, 861.98 and 141.82

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Solution

The fourth proportional to 574.65, 861.98 and 141.82 is: 212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.65 : 861.98 = 141.82 : x
  2. Step 2: Convert to fraction form
    574.65/861.98 = 141.82/x
  3. Step 3: Cross multiply
    574.65x = 861.98 × 141.82
  4. Step 4: Simplify right side
    574.65x = 122,243.14
  5. Step 5: Solve for x
    x = 122,243.14/574.65
  6. Step 6: Final answer
    x = 212.73

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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.