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Finding the Fourth Proportional to 217.64, 299.76 and 159.32

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Solution

The fourth proportional to 217.64, 299.76 and 159.32 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.64 : 299.76 = 159.32 : x
  2. Step 2: Convert to fraction form
    217.64/299.76 = 159.32/x
  3. Step 3: Cross multiply
    217.64x = 299.76 × 159.32
  4. Step 4: Simplify right side
    217.64x = 47,757.76
  5. Step 5: Solve for x
    x = 47,757.76/217.64
  6. Step 6: Final answer
    x = 219.43

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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.