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Finding the Fourth Proportional to 177.67, 266.02 and 138.95

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Solution

The fourth proportional to 177.67, 266.02 and 138.95 is: 208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 266.02 = 138.95 : x
  2. Step 2: Convert to fraction form
    177.67/266.02 = 138.95/x
  3. Step 3: Cross multiply
    177.67x = 266.02 × 138.95
  4. Step 4: Simplify right side
    177.67x = 36,963.48
  5. Step 5: Solve for x
    x = 36,963.48/177.67
  6. Step 6: Final answer
    x = 208.05

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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.