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Finding the Fourth Proportional to 232.32, 348.26 and 151.23

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Solution

The fourth proportional to 232.32, 348.26 and 151.23 is: 226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 348.26 = 151.23 : x
  2. Step 2: Convert to fraction form
    232.32/348.26 = 151.23/x
  3. Step 3: Cross multiply
    232.32x = 348.26 × 151.23
  4. Step 4: Simplify right side
    232.32x = 52,666.60
  5. Step 5: Solve for x
    x = 52,666.60/232.32
  6. Step 6: Final answer
    x = 226.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.