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Finding the Fourth Proportional to 156.70, 215.84 and 132.12

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Solution

The fourth proportional to 156.70, 215.84 and 132.12 is: 181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.70 : 215.84 = 132.12 : x
  2. Step 2: Convert to fraction form
    156.70/215.84 = 132.12/x
  3. Step 3: Cross multiply
    156.70x = 215.84 × 132.12
  4. Step 4: Simplify right side
    156.70x = 28,516.78
  5. Step 5: Solve for x
    x = 28,516.78/156.70
  6. Step 6: Final answer
    x = 181.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.