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Finding the Fourth Proportional to 230.18, 344.32 and 174.92

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Solution

The fourth proportional to 230.18, 344.32 and 174.92 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.18 : 344.32 = 174.92 : x
  2. Step 2: Convert to fraction form
    230.18/344.32 = 174.92/x
  3. Step 3: Cross multiply
    230.18x = 344.32 × 174.92
  4. Step 4: Simplify right side
    230.18x = 60,228.45
  5. Step 5: Solve for x
    x = 60,228.45/230.18
  6. Step 6: Final answer
    x = 261.66

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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.