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Finding the Fourth Proportional to 232.47, 320.64 and 162.54

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Solution

The fourth proportional to 232.47, 320.64 and 162.54 is: 224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 320.64 = 162.54 : x
  2. Step 2: Convert to fraction form
    232.47/320.64 = 162.54/x
  3. Step 3: Cross multiply
    232.47x = 320.64 × 162.54
  4. Step 4: Simplify right side
    232.47x = 52,116.83
  5. Step 5: Solve for x
    x = 52,116.83/232.47
  6. Step 6: Final answer
    x = 224.19

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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.