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Finding the Fourth Proportional to 177.84, 267.04 and 104.94

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Solution

The fourth proportional to 177.84, 267.04 and 104.94 is: 157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 267.04 = 104.94 : x
  2. Step 2: Convert to fraction form
    177.84/267.04 = 104.94/x
  3. Step 3: Cross multiply
    177.84x = 267.04 × 104.94
  4. Step 4: Simplify right side
    177.84x = 28,023.18
  5. Step 5: Solve for x
    x = 28,023.18/177.84
  6. Step 6: Final answer
    x = 157.58

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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.