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Finding the Fourth Proportional to 308.03, 424.87 and 214.79

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Solution

The fourth proportional to 308.03, 424.87 and 214.79 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.03 : 424.87 = 214.79 : x
  2. Step 2: Convert to fraction form
    308.03/424.87 = 214.79/x
  3. Step 3: Cross multiply
    308.03x = 424.87 × 214.79
  4. Step 4: Simplify right side
    308.03x = 91,257.83
  5. Step 5: Solve for x
    x = 91,257.83/308.03
  6. Step 6: Final answer
    x = 296.26

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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.