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Finding the Fourth Proportional to 232.80, 321.16 and 155.16

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Solution

The fourth proportional to 232.80, 321.16 and 155.16 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 321.16 = 155.16 : x
  2. Step 2: Convert to fraction form
    232.80/321.16 = 155.16/x
  3. Step 3: Cross multiply
    232.80x = 321.16 × 155.16
  4. Step 4: Simplify right side
    232.80x = 49,831.19
  5. Step 5: Solve for x
    x = 49,831.19/232.80
  6. Step 6: Final answer
    x = 214.05

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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.