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Finding the Fourth Proportional to 227.59, 314.10 and 128.04

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Solution

The fourth proportional to 227.59, 314.10 and 128.04 is: 176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.59 : 314.10 = 128.04 : x
  2. Step 2: Convert to fraction form
    227.59/314.10 = 128.04/x
  3. Step 3: Cross multiply
    227.59x = 314.10 × 128.04
  4. Step 4: Simplify right side
    227.59x = 40,218.43
  5. Step 5: Solve for x
    x = 40,218.43/227.59
  6. Step 6: Final answer
    x = 176.72

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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.