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Finding the Fourth Proportional to 318.82, 440.14 and 214.46

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Solution

The fourth proportional to 318.82, 440.14 and 214.46 is: 296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.82 : 440.14 = 214.46 : x
  2. Step 2: Convert to fraction form
    318.82/440.14 = 214.46/x
  3. Step 3: Cross multiply
    318.82x = 440.14 × 214.46
  4. Step 4: Simplify right side
    318.82x = 94,393.62
  5. Step 5: Solve for x
    x = 94,393.62/318.82
  6. Step 6: Final answer
    x = 296.07

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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.