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Finding the Fourth Proportional to 177.69, 266.29 and 109.35

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Solution

The fourth proportional to 177.69, 266.29 and 109.35 is: 163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.69 : 266.29 = 109.35 : x
  2. Step 2: Convert to fraction form
    177.69/266.29 = 109.35/x
  3. Step 3: Cross multiply
    177.69x = 266.29 × 109.35
  4. Step 4: Simplify right side
    177.69x = 29,118.54
  5. Step 5: Solve for x
    x = 29,118.54/177.69
  6. Step 6: Final answer
    x = 163.87

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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.