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Finding the Fourth Proportional to 232.42, 320.61 and 145.14

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Solution

The fourth proportional to 232.42, 320.61 and 145.14 is: 200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 320.61 = 145.14 : x
  2. Step 2: Convert to fraction form
    232.42/320.61 = 145.14/x
  3. Step 3: Cross multiply
    232.42x = 320.61 × 145.14
  4. Step 4: Simplify right side
    232.42x = 46,532.61
  5. Step 5: Solve for x
    x = 46,532.61/232.42
  6. Step 6: Final answer
    x = 200.21

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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.