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Finding the Fourth Proportional to 324.53, 487.02 and 141.82

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Solution

The fourth proportional to 324.53, 487.02 and 141.82 is: 212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.53 : 487.02 = 141.82 : x
  2. Step 2: Convert to fraction form
    324.53/487.02 = 141.82/x
  3. Step 3: Cross multiply
    324.53x = 487.02 × 141.82
  4. Step 4: Simplify right side
    324.53x = 69,069.18
  5. Step 5: Solve for x
    x = 69,069.18/324.53
  6. Step 6: Final answer
    x = 212.83

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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.