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Finding the Fourth Proportional to 232.18, 320.30 and 180.07

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Solution

The fourth proportional to 232.18, 320.30 and 180.07 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.18 : 320.30 = 180.07 : x
  2. Step 2: Convert to fraction form
    232.18/320.30 = 180.07/x
  3. Step 3: Cross multiply
    232.18x = 320.30 × 180.07
  4. Step 4: Simplify right side
    232.18x = 57,675.52
  5. Step 5: Solve for x
    x = 57,675.52/232.18
  6. Step 6: Final answer
    x = 248.41

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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.