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Finding the Fourth Proportional to 232.55, 320.98 and 162.66

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Solution

The fourth proportional to 232.55, 320.98 and 162.66 is: 224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.55 : 320.98 = 162.66 : x
  2. Step 2: Convert to fraction form
    232.55/320.98 = 162.66/x
  3. Step 3: Cross multiply
    232.55x = 320.98 × 162.66
  4. Step 4: Simplify right side
    232.55x = 52,210.20
  5. Step 5: Solve for x
    x = 52,210.20/232.55
  6. Step 6: Final answer
    x = 224.51

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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.