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Finding the Fourth Proportional to 232.39, 320.78 and 152.64

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Solution

The fourth proportional to 232.39, 320.78 and 152.64 is: 210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.39 : 320.78 = 152.64 : x
  2. Step 2: Convert to fraction form
    232.39/320.78 = 152.64/x
  3. Step 3: Cross multiply
    232.39x = 320.78 × 152.64
  4. Step 4: Simplify right side
    232.39x = 48,963.86
  5. Step 5: Solve for x
    x = 48,963.86/232.39
  6. Step 6: Final answer
    x = 210.70

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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.