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Finding the Fourth Proportional to 177.78, 266.73 and 166.86

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Solution

The fourth proportional to 177.78, 266.73 and 166.86 is: 250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 266.73 = 166.86 : x
  2. Step 2: Convert to fraction form
    177.78/266.73 = 166.86/x
  3. Step 3: Cross multiply
    177.78x = 266.73 × 166.86
  4. Step 4: Simplify right side
    177.78x = 44,506.57
  5. Step 5: Solve for x
    x = 44,506.57/177.78
  6. Step 6: Final answer
    x = 250.35

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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.