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Finding the Fourth Proportional to 261.26, 360.49 and 177.27

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Solution

The fourth proportional to 261.26, 360.49 and 177.27 is: 244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.26 : 360.49 = 177.27 : x
  2. Step 2: Convert to fraction form
    261.26/360.49 = 177.27/x
  3. Step 3: Cross multiply
    261.26x = 360.49 × 177.27
  4. Step 4: Simplify right side
    261.26x = 63,901.37
  5. Step 5: Solve for x
    x = 63,901.37/261.26
  6. Step 6: Final answer
    x = 244.59

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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.