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Finding the Fourth Proportional to 261.26, 360.06 and 214.82

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Solution

The fourth proportional to 261.26, 360.06 and 214.82 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.26 : 360.06 = 214.82 : x
  2. Step 2: Convert to fraction form
    261.26/360.06 = 214.82/x
  3. Step 3: Cross multiply
    261.26x = 360.06 × 214.82
  4. Step 4: Simplify right side
    261.26x = 77,348.09
  5. Step 5: Solve for x
    x = 77,348.09/261.26
  6. Step 6: Final answer
    x = 296.06

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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.