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Finding the Fourth Proportional to 232.50, 321.54 and 207.90

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Solution

The fourth proportional to 232.50, 321.54 and 207.90 is: 287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 321.54 = 207.90 : x
  2. Step 2: Convert to fraction form
    232.50/321.54 = 207.90/x
  3. Step 3: Cross multiply
    232.50x = 321.54 × 207.90
  4. Step 4: Simplify right side
    232.50x = 66,848.17
  5. Step 5: Solve for x
    x = 66,848.17/232.50
  6. Step 6: Final answer
    x = 287.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.