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Finding the Fourth Proportional to 159.10, 238.95 and 98.35

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Solution

The fourth proportional to 159.10, 238.95 and 98.35 is: 147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.10 : 238.95 = 98.35 : x
  2. Step 2: Convert to fraction form
    159.10/238.95 = 98.35/x
  3. Step 3: Cross multiply
    159.10x = 238.95 × 98.35
  4. Step 4: Simplify right side
    159.10x = 23,500.14
  5. Step 5: Solve for x
    x = 23,500.14/159.10
  6. Step 6: Final answer
    x = 147.71

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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.