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Finding the Fourth Proportional to 159.30, 226.13 and 159.30

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Solution

The fourth proportional to 159.30, 226.13 and 159.30 is: 226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 226.13 = 159.30 : x
  2. Step 2: Convert to fraction form
    159.30/226.13 = 159.30/x
  3. Step 3: Cross multiply
    159.30x = 226.13 × 159.30
  4. Step 4: Simplify right side
    159.30x = 36,021.71
  5. Step 5: Solve for x
    x = 36,021.71/159.30
  6. Step 6: Final answer
    x = 226.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.