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Finding the Fourth Proportional to 177.81, 266.20 and 134.66

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Solution

The fourth proportional to 177.81, 266.20 and 134.66 is: 201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.81 : 266.20 = 134.66 : x
  2. Step 2: Convert to fraction form
    177.81/266.20 = 134.66/x
  3. Step 3: Cross multiply
    177.81x = 266.20 × 134.66
  4. Step 4: Simplify right side
    177.81x = 35,846.49
  5. Step 5: Solve for x
    x = 35,846.49/177.81
  6. Step 6: Final answer
    x = 201.60

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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.