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Finding the Fourth Proportional to 248.87, 343.38 and 142.51

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Solution

The fourth proportional to 248.87, 343.38 and 142.51 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.87 : 343.38 = 142.51 : x
  2. Step 2: Convert to fraction form
    248.87/343.38 = 142.51/x
  3. Step 3: Cross multiply
    248.87x = 343.38 × 142.51
  4. Step 4: Simplify right side
    248.87x = 48,934.23
  5. Step 5: Solve for x
    x = 48,934.23/248.87
  6. Step 6: Final answer
    x = 196.63

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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.