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Finding the Fourth Proportional to 239, 329.85 and 135.50

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Solution

The fourth proportional to 239, 329.85 and 135.50 is: 187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239 : 329.85 = 135.50 : x
  2. Step 2: Convert to fraction form
    239/329.85 = 135.50/x
  3. Step 3: Cross multiply
    239x = 329.85 × 135.50
  4. Step 4: Simplify right side
    239x = 44,694.68
  5. Step 5: Solve for x
    x = 44,694.68/239
  6. Step 6: Final answer
    x = 187.01

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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.