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Finding the Fourth Proportional to 178.81, 268.23 and 63.23

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Solution

The fourth proportional to 178.81, 268.23 and 63.23 is: 94.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.81 : 268.23 = 63.23 : x
  2. Step 2: Convert to fraction form
    178.81/268.23 = 63.23/x
  3. Step 3: Cross multiply
    178.81x = 268.23 × 63.23
  4. Step 4: Simplify right side
    178.81x = 16,959.08
  5. Step 5: Solve for x
    x = 16,959.08/178.81
  6. Step 6: Final answer
    x = 94.85

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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.