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Finding the Fourth Proportional to 232.10, 347.64 and 150.68

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Solution

The fourth proportional to 232.10, 347.64 and 150.68 is: 225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.10 : 347.64 = 150.68 : x
  2. Step 2: Convert to fraction form
    232.10/347.64 = 150.68/x
  3. Step 3: Cross multiply
    232.10x = 347.64 × 150.68
  4. Step 4: Simplify right side
    232.10x = 52,382.40
  5. Step 5: Solve for x
    x = 52,382.40/232.10
  6. Step 6: Final answer
    x = 225.69

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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.