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Finding the Fourth Proportional to 178.65, 267.93 and 82.37

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Solution

The fourth proportional to 178.65, 267.93 and 82.37 is: 123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.65 : 267.93 = 82.37 : x
  2. Step 2: Convert to fraction form
    178.65/267.93 = 82.37/x
  3. Step 3: Cross multiply
    178.65x = 267.93 × 82.37
  4. Step 4: Simplify right side
    178.65x = 22,069.39
  5. Step 5: Solve for x
    x = 22,069.39/178.65
  6. Step 6: Final answer
    x = 123.53

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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.