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Finding the Fourth Proportional to 248.71, 343.37 and 160.23

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Solution

The fourth proportional to 248.71, 343.37 and 160.23 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.71 : 343.37 = 160.23 : x
  2. Step 2: Convert to fraction form
    248.71/343.37 = 160.23/x
  3. Step 3: Cross multiply
    248.71x = 343.37 × 160.23
  4. Step 4: Simplify right side
    248.71x = 55,017.87
  5. Step 5: Solve for x
    x = 55,017.87/248.71
  6. Step 6: Final answer
    x = 221.22

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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.