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Finding the Fourth Proportional to 266.07, 367.19 and 177.41

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Solution

The fourth proportional to 266.07, 367.19 and 177.41 is: 244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.07 : 367.19 = 177.41 : x
  2. Step 2: Convert to fraction form
    266.07/367.19 = 177.41/x
  3. Step 3: Cross multiply
    266.07x = 367.19 × 177.41
  4. Step 4: Simplify right side
    266.07x = 65,143.18
  5. Step 5: Solve for x
    x = 65,143.18/266.07
  6. Step 6: Final answer
    x = 244.83

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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.