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Finding the Fourth Proportional to 156.52, 234.92 and 118.05

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Solution

The fourth proportional to 156.52, 234.92 and 118.05 is: 177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.52 : 234.92 = 118.05 : x
  2. Step 2: Convert to fraction form
    156.52/234.92 = 118.05/x
  3. Step 3: Cross multiply
    156.52x = 234.92 × 118.05
  4. Step 4: Simplify right side
    156.52x = 27,732.31
  5. Step 5: Solve for x
    x = 27,732.31/156.52
  6. Step 6: Final answer
    x = 177.18

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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.