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Finding the Fourth Proportional to 227.76, 314.55 and 179.16

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Solution

The fourth proportional to 227.76, 314.55 and 179.16 is: 247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.76 : 314.55 = 179.16 : x
  2. Step 2: Convert to fraction form
    227.76/314.55 = 179.16/x
  3. Step 3: Cross multiply
    227.76x = 314.55 × 179.16
  4. Step 4: Simplify right side
    227.76x = 56,354.78
  5. Step 5: Solve for x
    x = 56,354.78/227.76
  6. Step 6: Final answer
    x = 247.43

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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.