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Finding the Fourth Proportional to 159.16, 238.23 and 98.41

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Solution

The fourth proportional to 159.16, 238.23 and 98.41 is: 147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.16 : 238.23 = 98.41 : x
  2. Step 2: Convert to fraction form
    159.16/238.23 = 98.41/x
  3. Step 3: Cross multiply
    159.16x = 238.23 × 98.41
  4. Step 4: Simplify right side
    159.16x = 23,444.21
  5. Step 5: Solve for x
    x = 23,444.21/159.16
  6. Step 6: Final answer
    x = 147.30

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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.