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Finding the Fourth Proportional to 308.15, 424.95 and 214.75

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Solution

The fourth proportional to 308.15, 424.95 and 214.75 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.15 : 424.95 = 214.75 : x
  2. Step 2: Convert to fraction form
    308.15/424.95 = 214.75/x
  3. Step 3: Cross multiply
    308.15x = 424.95 × 214.75
  4. Step 4: Simplify right side
    308.15x = 91,257.74
  5. Step 5: Solve for x
    x = 91,257.74/308.15
  6. Step 6: Final answer
    x = 296.14

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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.