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Finding the Fourth Proportional to 215.91, 324.27 and 147.47

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Solution

The fourth proportional to 215.91, 324.27 and 147.47 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.91 : 324.27 = 147.47 : x
  2. Step 2: Convert to fraction form
    215.91/324.27 = 147.47/x
  3. Step 3: Cross multiply
    215.91x = 324.27 × 147.47
  4. Step 4: Simplify right side
    215.91x = 47,818.48
  5. Step 5: Solve for x
    x = 47,818.48/215.91
  6. Step 6: Final answer
    x = 221.47

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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.