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Finding the Fourth Proportional to 242.64, 335.00 and 159.90

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Solution

The fourth proportional to 242.64, 335.00 and 159.90 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 335.00 = 159.90 : x
  2. Step 2: Convert to fraction form
    242.64/335.00 = 159.90/x
  3. Step 3: Cross multiply
    242.64x = 335.00 × 159.90
  4. Step 4: Simplify right side
    242.64x = 53,565.70
  5. Step 5: Solve for x
    x = 53,565.70/242.64
  6. Step 6: Final answer
    x = 220.76

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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.