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Finding the Fourth Proportional to 177.67, 266.19 and 123.46

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Solution

The fourth proportional to 177.67, 266.19 and 123.46 is: 184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 266.19 = 123.46 : x
  2. Step 2: Convert to fraction form
    177.67/266.19 = 123.46/x
  3. Step 3: Cross multiply
    177.67x = 266.19 × 123.46
  4. Step 4: Simplify right side
    177.67x = 32,863.82
  5. Step 5: Solve for x
    x = 32,863.82/177.67
  6. Step 6: Final answer
    x = 184.97

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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.