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Finding the Fourth Proportional to 156.32, 232.96 and 147.04

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Solution

The fourth proportional to 156.32, 232.96 and 147.04 is: 219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.32 : 232.96 = 147.04 : x
  2. Step 2: Convert to fraction form
    156.32/232.96 = 147.04/x
  3. Step 3: Cross multiply
    156.32x = 232.96 × 147.04
  4. Step 4: Simplify right side
    156.32x = 34,254.44
  5. Step 5: Solve for x
    x = 34,254.44/156.32
  6. Step 6: Final answer
    x = 219.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.