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Finding the Fourth Proportional to 261.24, 360.44 and 178.20

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Solution

The fourth proportional to 261.24, 360.44 and 178.20 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 360.44 = 178.20 : x
  2. Step 2: Convert to fraction form
    261.24/360.44 = 178.20/x
  3. Step 3: Cross multiply
    261.24x = 360.44 × 178.20
  4. Step 4: Simplify right side
    261.24x = 64,230.41
  5. Step 5: Solve for x
    x = 64,230.41/261.24
  6. Step 6: Final answer
    x = 245.87

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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.