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Finding the Fourth Proportional to 274.06, 410.64 and 165.88

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Solution

The fourth proportional to 274.06, 410.64 and 165.88 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.06 : 410.64 = 165.88 : x
  2. Step 2: Convert to fraction form
    274.06/410.64 = 165.88/x
  3. Step 3: Cross multiply
    274.06x = 410.64 × 165.88
  4. Step 4: Simplify right side
    274.06x = 68,116.96
  5. Step 5: Solve for x
    x = 68,116.96/274.06
  6. Step 6: Final answer
    x = 248.55

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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.