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Finding the Fourth Proportional to 227.39, 341.15 and 159.08

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Solution

The fourth proportional to 227.39, 341.15 and 159.08 is: 238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.39 : 341.15 = 159.08 : x
  2. Step 2: Convert to fraction form
    227.39/341.15 = 159.08/x
  3. Step 3: Cross multiply
    227.39x = 341.15 × 159.08
  4. Step 4: Simplify right side
    227.39x = 54,267.64
  5. Step 5: Solve for x
    x = 54,267.64/227.39
  6. Step 6: Final answer
    x = 238.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.