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Finding the Fourth Proportional to 227.42, 313.71 and 129.16

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Solution

The fourth proportional to 227.42, 313.71 and 129.16 is: 178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 313.71 = 129.16 : x
  2. Step 2: Convert to fraction form
    227.42/313.71 = 129.16/x
  3. Step 3: Cross multiply
    227.42x = 313.71 × 129.16
  4. Step 4: Simplify right side
    227.42x = 40,518.69
  5. Step 5: Solve for x
    x = 40,518.69/227.42
  6. Step 6: Final answer
    x = 178.17

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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.