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Finding the Fourth Proportional to 291.80, 402.68 and 159.02

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Solution

The fourth proportional to 291.80, 402.68 and 159.02 is: 219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.80 : 402.68 = 159.02 : x
  2. Step 2: Convert to fraction form
    291.80/402.68 = 159.02/x
  3. Step 3: Cross multiply
    291.80x = 402.68 × 159.02
  4. Step 4: Simplify right side
    291.80x = 64,032.56
  5. Step 5: Solve for x
    x = 64,032.56/291.80
  6. Step 6: Final answer
    x = 219.44

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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.