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Finding the Fourth Proportional to 261.51, 360.33 and 214.73

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Solution

The fourth proportional to 261.51, 360.33 and 214.73 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.51 : 360.33 = 214.73 : x
  2. Step 2: Convert to fraction form
    261.51/360.33 = 214.73/x
  3. Step 3: Cross multiply
    261.51x = 360.33 × 214.73
  4. Step 4: Simplify right side
    261.51x = 77,371.86
  5. Step 5: Solve for x
    x = 77,371.86/261.51
  6. Step 6: Final answer
    x = 295.87

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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.