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Finding the Fourth Proportional to 176.87, 243.47 and 159.06

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Solution

The fourth proportional to 176.87, 243.47 and 159.06 is: 218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.87 : 243.47 = 159.06 : x
  2. Step 2: Convert to fraction form
    176.87/243.47 = 159.06/x
  3. Step 3: Cross multiply
    176.87x = 243.47 × 159.06
  4. Step 4: Simplify right side
    176.87x = 38,725.54
  5. Step 5: Solve for x
    x = 38,725.54/176.87
  6. Step 6: Final answer
    x = 218.96

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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.