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Finding the Fourth Proportional to 232.49, 320.89 and 145.11

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Solution

The fourth proportional to 232.49, 320.89 and 145.11 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.49 : 320.89 = 145.11 : x
  2. Step 2: Convert to fraction form
    232.49/320.89 = 145.11/x
  3. Step 3: Cross multiply
    232.49x = 320.89 × 145.11
  4. Step 4: Simplify right side
    232.49x = 46,564.35
  5. Step 5: Solve for x
    x = 46,564.35/232.49
  6. Step 6: Final answer
    x = 200.29

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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.