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Finding the Fourth Proportional to 177.40, 244.48 and 165.16

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Solution

The fourth proportional to 177.40, 244.48 and 165.16 is: 227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 244.48 = 165.16 : x
  2. Step 2: Convert to fraction form
    177.40/244.48 = 165.16/x
  3. Step 3: Cross multiply
    177.40x = 244.48 × 165.16
  4. Step 4: Simplify right side
    177.40x = 40,378.32
  5. Step 5: Solve for x
    x = 40,378.32/177.40
  6. Step 6: Final answer
    x = 227.61

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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.