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Finding the Fourth Proportional to 248.86, 343.47 and 197.02

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Solution

The fourth proportional to 248.86, 343.47 and 197.02 is: 271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.86 : 343.47 = 197.02 : x
  2. Step 2: Convert to fraction form
    248.86/343.47 = 197.02/x
  3. Step 3: Cross multiply
    248.86x = 343.47 × 197.02
  4. Step 4: Simplify right side
    248.86x = 67,670.46
  5. Step 5: Solve for x
    x = 67,670.46/248.86
  6. Step 6: Final answer
    x = 271.92

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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.