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Finding the Fourth Proportional to 232.04, 349.35 and 171.60

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Solution

The fourth proportional to 232.04, 349.35 and 171.60 is: 258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.04 : 349.35 = 171.60 : x
  2. Step 2: Convert to fraction form
    232.04/349.35 = 171.60/x
  3. Step 3: Cross multiply
    232.04x = 349.35 × 171.60
  4. Step 4: Simplify right side
    232.04x = 59,948.46
  5. Step 5: Solve for x
    x = 59,948.46/232.04
  6. Step 6: Final answer
    x = 258.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.