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Finding the Fourth Proportional to 232.74, 320.96 and 183.53

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Solution

The fourth proportional to 232.74, 320.96 and 183.53 is: 253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.74 : 320.96 = 183.53 : x
  2. Step 2: Convert to fraction form
    232.74/320.96 = 183.53/x
  3. Step 3: Cross multiply
    232.74x = 320.96 × 183.53
  4. Step 4: Simplify right side
    232.74x = 58,907.05
  5. Step 5: Solve for x
    x = 58,907.05/232.74
  6. Step 6: Final answer
    x = 253.10

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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.