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Finding the Fourth Proportional to 251.28, 346.50 and 214.38

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Solution

The fourth proportional to 251.28, 346.50 and 214.38 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 346.50 = 214.38 : x
  2. Step 2: Convert to fraction form
    251.28/346.50 = 214.38/x
  3. Step 3: Cross multiply
    251.28x = 346.50 × 214.38
  4. Step 4: Simplify right side
    251.28x = 74,282.67
  5. Step 5: Solve for x
    x = 74,282.67/251.28
  6. Step 6: Final answer
    x = 295.62

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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.