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Finding the Fourth Proportional to 248.91, 343.19 and 211.53

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Solution

The fourth proportional to 248.91, 343.19 and 211.53 is: 291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.91 : 343.19 = 211.53 : x
  2. Step 2: Convert to fraction form
    248.91/343.19 = 211.53/x
  3. Step 3: Cross multiply
    248.91x = 343.19 × 211.53
  4. Step 4: Simplify right side
    248.91x = 72,593.92
  5. Step 5: Solve for x
    x = 72,593.92/248.91
  6. Step 6: Final answer
    x = 291.65

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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.