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Finding the Fourth Proportional to 238.74, 329.43 and 145.46

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Solution

The fourth proportional to 238.74, 329.43 and 145.46 is: 200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.74 : 329.43 = 145.46 : x
  2. Step 2: Convert to fraction form
    238.74/329.43 = 145.46/x
  3. Step 3: Cross multiply
    238.74x = 329.43 × 145.46
  4. Step 4: Simplify right side
    238.74x = 47,918.89
  5. Step 5: Solve for x
    x = 47,918.89/238.74
  6. Step 6: Final answer
    x = 200.72

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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.