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Finding the Fourth Proportional to 248.64, 343.20 and 143.82

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Solution

The fourth proportional to 248.64, 343.20 and 143.82 is: 198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.64 : 343.20 = 143.82 : x
  2. Step 2: Convert to fraction form
    248.64/343.20 = 143.82/x
  3. Step 3: Cross multiply
    248.64x = 343.20 × 143.82
  4. Step 4: Simplify right side
    248.64x = 49,359.02
  5. Step 5: Solve for x
    x = 49,359.02/248.64
  6. Step 6: Final answer
    x = 198.52

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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.