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Finding the Fourth Proportional to 178.84, 266.36 and 169.48

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Solution

The fourth proportional to 178.84, 266.36 and 169.48 is: 252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.84 : 266.36 = 169.48 : x
  2. Step 2: Convert to fraction form
    178.84/266.36 = 169.48/x
  3. Step 3: Cross multiply
    178.84x = 266.36 × 169.48
  4. Step 4: Simplify right side
    178.84x = 45,142.69
  5. Step 5: Solve for x
    x = 45,142.69/178.84
  6. Step 6: Final answer
    x = 252.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.