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Finding the Fourth Proportional to 232.93, 349.15 and 117.21

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Solution

The fourth proportional to 232.93, 349.15 and 117.21 is: 175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 349.15 = 117.21 : x
  2. Step 2: Convert to fraction form
    232.93/349.15 = 117.21/x
  3. Step 3: Cross multiply
    232.93x = 349.15 × 117.21
  4. Step 4: Simplify right side
    232.93x = 40,923.87
  5. Step 5: Solve for x
    x = 40,923.87/232.93
  6. Step 6: Final answer
    x = 175.69

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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.