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Finding the Fourth Proportional to 165.90, 247.76 and 141.66

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Solution

The fourth proportional to 165.90, 247.76 and 141.66 is: 211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 247.76 = 141.66 : x
  2. Step 2: Convert to fraction form
    165.90/247.76 = 141.66/x
  3. Step 3: Cross multiply
    165.90x = 247.76 × 141.66
  4. Step 4: Simplify right side
    165.90x = 35,096.97
  5. Step 5: Solve for x
    x = 35,096.97/165.90
  6. Step 6: Final answer
    x = 211.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.