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Finding the Fourth Proportional to 177.68, 266.70 and 109.34

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Solution

The fourth proportional to 177.68, 266.70 and 109.34 is: 164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 266.70 = 109.34 : x
  2. Step 2: Convert to fraction form
    177.68/266.70 = 109.34/x
  3. Step 3: Cross multiply
    177.68x = 266.70 × 109.34
  4. Step 4: Simplify right side
    177.68x = 29,160.43
  5. Step 5: Solve for x
    x = 29,160.43/177.68
  6. Step 6: Final answer
    x = 164.11

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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.