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Finding the Fourth Proportional to 177.84, 267.08 and 109.49

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Solution

The fourth proportional to 177.84, 267.08 and 109.49 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 267.08 = 109.49 : x
  2. Step 2: Convert to fraction form
    177.84/267.08 = 109.49/x
  3. Step 3: Cross multiply
    177.84x = 267.08 × 109.49
  4. Step 4: Simplify right side
    177.84x = 29,240.71
  5. Step 5: Solve for x
    x = 29,240.71/177.84
  6. Step 6: Final answer
    x = 164.42

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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.