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Finding the Fourth Proportional to 227.49, 341.30 and 165.26

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Solution

The fourth proportional to 227.49, 341.30 and 165.26 is: 247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.49 : 341.30 = 165.26 : x
  2. Step 2: Convert to fraction form
    227.49/341.30 = 165.26/x
  3. Step 3: Cross multiply
    227.49x = 341.30 × 165.26
  4. Step 4: Simplify right side
    227.49x = 56,400.71
  5. Step 5: Solve for x
    x = 56,400.71/227.49
  6. Step 6: Final answer
    x = 247.93

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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.