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Finding the Fourth Proportional to 178.51, 267.69 and 82.25

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Solution

The fourth proportional to 178.51, 267.69 and 82.25 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.51 : 267.69 = 82.25 : x
  2. Step 2: Convert to fraction form
    178.51/267.69 = 82.25/x
  3. Step 3: Cross multiply
    178.51x = 267.69 × 82.25
  4. Step 4: Simplify right side
    178.51x = 22,017.50
  5. Step 5: Solve for x
    x = 22,017.50/178.51
  6. Step 6: Final answer
    x = 123.34

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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.