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Finding the Fourth Proportional to 156.96, 232.20 and 156.96

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Solution

The fourth proportional to 156.96, 232.20 and 156.96 is: 232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.96 : 232.20 = 156.96 : x
  2. Step 2: Convert to fraction form
    156.96/232.20 = 156.96/x
  3. Step 3: Cross multiply
    156.96x = 232.20 × 156.96
  4. Step 4: Simplify right side
    156.96x = 36,446.11
  5. Step 5: Solve for x
    x = 36,446.11/156.96
  6. Step 6: Final answer
    x = 232.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.