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Finding the Fourth Proportional to 178.79, 268.34 and 158.27

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Solution

The fourth proportional to 178.79, 268.34 and 158.27 is: 237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.79 : 268.34 = 158.27 : x
  2. Step 2: Convert to fraction form
    178.79/268.34 = 158.27/x
  3. Step 3: Cross multiply
    178.79x = 268.34 × 158.27
  4. Step 4: Simplify right side
    178.79x = 42,468.04
  5. Step 5: Solve for x
    x = 42,468.04/178.79
  6. Step 6: Final answer
    x = 237.54

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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.