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Finding the Fourth Proportional to 261.73, 360.87 and 212.47

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Solution

The fourth proportional to 261.73, 360.87 and 212.47 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.73 : 360.87 = 212.47 : x
  2. Step 2: Convert to fraction form
    261.73/360.87 = 212.47/x
  3. Step 3: Cross multiply
    261.73x = 360.87 × 212.47
  4. Step 4: Simplify right side
    261.73x = 76,674.05
  5. Step 5: Solve for x
    x = 76,674.05/261.73
  6. Step 6: Final answer
    x = 292.95

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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.