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Finding the Fourth Proportional to 227.42, 341.07 and 65.11

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Solution

The fourth proportional to 227.42, 341.07 and 65.11 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 341.07 = 65.11 : x
  2. Step 2: Convert to fraction form
    227.42/341.07 = 65.11/x
  3. Step 3: Cross multiply
    227.42x = 341.07 × 65.11
  4. Step 4: Simplify right side
    227.42x = 22,207.07
  5. Step 5: Solve for x
    x = 22,207.07/227.42
  6. Step 6: Final answer
    x = 97.65

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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.