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Finding the Fourth Proportional to 156.71, 216.17 and 135.95

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Solution

The fourth proportional to 156.71, 216.17 and 135.95 is: 187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.71 : 216.17 = 135.95 : x
  2. Step 2: Convert to fraction form
    156.71/216.17 = 135.95/x
  3. Step 3: Cross multiply
    156.71x = 216.17 × 135.95
  4. Step 4: Simplify right side
    156.71x = 29,388.31
  5. Step 5: Solve for x
    x = 29,388.31/156.71
  6. Step 6: Final answer
    x = 187.54

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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.