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Finding the Fourth Proportional to 227.90, 314.91 and 165.93

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Solution

The fourth proportional to 227.90, 314.91 and 165.93 is: 229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.90 : 314.91 = 165.93 : x
  2. Step 2: Convert to fraction form
    227.90/314.91 = 165.93/x
  3. Step 3: Cross multiply
    227.90x = 314.91 × 165.93
  4. Step 4: Simplify right side
    227.90x = 52,253.02
  5. Step 5: Solve for x
    x = 52,253.02/227.90
  6. Step 6: Final answer
    x = 229.29

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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.