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Finding the Fourth Proportional to 227.61, 314.02 and 128.01

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Solution

The fourth proportional to 227.61, 314.02 and 128.01 is: 176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.61 : 314.02 = 128.01 : x
  2. Step 2: Convert to fraction form
    227.61/314.02 = 128.01/x
  3. Step 3: Cross multiply
    227.61x = 314.02 × 128.01
  4. Step 4: Simplify right side
    227.61x = 40,197.70
  5. Step 5: Solve for x
    x = 40,197.70/227.61
  6. Step 6: Final answer
    x = 176.61

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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.