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Finding the Fourth Proportional to 159.30, 238.88 and 82.35

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Solution

The fourth proportional to 159.30, 238.88 and 82.35 is: 123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 238.88 = 82.35 : x
  2. Step 2: Convert to fraction form
    159.30/238.88 = 82.35/x
  3. Step 3: Cross multiply
    159.30x = 238.88 × 82.35
  4. Step 4: Simplify right side
    159.30x = 19,671.97
  5. Step 5: Solve for x
    x = 19,671.97/159.30
  6. Step 6: Final answer
    x = 123.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.