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Finding the Fourth Proportional to 232.59, 320.27 and 183.45

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Solution

The fourth proportional to 232.59, 320.27 and 183.45 is: 252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.59 : 320.27 = 183.45 : x
  2. Step 2: Convert to fraction form
    232.59/320.27 = 183.45/x
  3. Step 3: Cross multiply
    232.59x = 320.27 × 183.45
  4. Step 4: Simplify right side
    232.59x = 58,752.61
  5. Step 5: Solve for x
    x = 58,752.61/232.59
  6. Step 6: Final answer
    x = 252.60

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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.