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Finding the Fourth Proportional to 156.32, 233.24 and 147.12

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Solution

The fourth proportional to 156.32, 233.24 and 147.12 is: 219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.32 : 233.24 = 147.12 : x
  2. Step 2: Convert to fraction form
    156.32/233.24 = 147.12/x
  3. Step 3: Cross multiply
    156.32x = 233.24 × 147.12
  4. Step 4: Simplify right side
    156.32x = 34,314.27
  5. Step 5: Solve for x
    x = 34,314.27/156.32
  6. Step 6: Final answer
    x = 219.51

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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.