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Finding the Fourth Proportional to 232.24, 320.52 and 147.07

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Solution

The fourth proportional to 232.24, 320.52 and 147.07 is: 202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 320.52 = 147.07 : x
  2. Step 2: Convert to fraction form
    232.24/320.52 = 147.07/x
  3. Step 3: Cross multiply
    232.24x = 320.52 × 147.07
  4. Step 4: Simplify right side
    232.24x = 47,138.88
  5. Step 5: Solve for x
    x = 47,138.88/232.24
  6. Step 6: Final answer
    x = 202.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.