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Finding the Fourth Proportional to 248.73, 343.08 and 211.74

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Solution

The fourth proportional to 248.73, 343.08 and 211.74 is: 292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.73 : 343.08 = 211.74 : x
  2. Step 2: Convert to fraction form
    248.73/343.08 = 211.74/x
  3. Step 3: Cross multiply
    248.73x = 343.08 × 211.74
  4. Step 4: Simplify right side
    248.73x = 72,643.76
  5. Step 5: Solve for x
    x = 72,643.76/248.73
  6. Step 6: Final answer
    x = 292.06

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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.