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Finding the Fourth Proportional to 227.04, 340.44 and 165.66

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Solution

The fourth proportional to 227.04, 340.44 and 165.66 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 340.44 = 165.66 : x
  2. Step 2: Convert to fraction form
    227.04/340.44 = 165.66/x
  3. Step 3: Cross multiply
    227.04x = 340.44 × 165.66
  4. Step 4: Simplify right side
    227.04x = 56,397.29
  5. Step 5: Solve for x
    x = 56,397.29/227.04
  6. Step 6: Final answer
    x = 248.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.