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Finding the Fourth Proportional to 261.22, 360.06 and 178.30

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Solution

The fourth proportional to 261.22, 360.06 and 178.30 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.22 : 360.06 = 178.30 : x
  2. Step 2: Convert to fraction form
    261.22/360.06 = 178.30/x
  3. Step 3: Cross multiply
    261.22x = 360.06 × 178.30
  4. Step 4: Simplify right side
    261.22x = 64,198.70
  5. Step 5: Solve for x
    x = 64,198.70/261.22
  6. Step 6: Final answer
    x = 245.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.