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Finding the Fourth Proportional to 240.75, 359.15 and 232.34

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Solution

The fourth proportional to 240.75, 359.15 and 232.34 is: 346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 359.15 = 232.34 : x
  2. Step 2: Convert to fraction form
    240.75/359.15 = 232.34/x
  3. Step 3: Cross multiply
    240.75x = 359.15 × 232.34
  4. Step 4: Simplify right side
    240.75x = 83,441.95
  5. Step 5: Solve for x
    x = 83,441.95/240.75
  6. Step 6: Final answer
    x = 346.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.