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Finding the Fourth Proportional to 266.06, 366.81 and 177.55

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Solution

The fourth proportional to 266.06, 366.81 and 177.55 is: 244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 366.81 = 177.55 : x
  2. Step 2: Convert to fraction form
    266.06/366.81 = 177.55/x
  3. Step 3: Cross multiply
    266.06x = 366.81 × 177.55
  4. Step 4: Simplify right side
    266.06x = 65,125.53
  5. Step 5: Solve for x
    x = 65,125.53/266.06
  6. Step 6: Final answer
    x = 244.78

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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.