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Finding the Fourth Proportional to 261, 360.24 and 182.33

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Solution

The fourth proportional to 261, 360.24 and 182.33 is: 251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 360.24 = 182.33 : x
  2. Step 2: Convert to fraction form
    261/360.24 = 182.33/x
  3. Step 3: Cross multiply
    261x = 360.24 × 182.33
  4. Step 4: Simplify right side
    261x = 65,680.76
  5. Step 5: Solve for x
    x = 65,680.76/261
  6. Step 6: Final answer
    x = 251.65

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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.