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Finding the Fourth Proportional to 238.78, 329.52 and 145.50

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Solution

The fourth proportional to 238.78, 329.52 and 145.50 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 329.52 = 145.50 : x
  2. Step 2: Convert to fraction form
    238.78/329.52 = 145.50/x
  3. Step 3: Cross multiply
    238.78x = 329.52 × 145.50
  4. Step 4: Simplify right side
    238.78x = 47,945.16
  5. Step 5: Solve for x
    x = 47,945.16/238.78
  6. Step 6: Final answer
    x = 200.79

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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.