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Finding the Fourth Proportional to 248.81, 343.37 and 145.31

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Solution

The fourth proportional to 248.81, 343.37 and 145.31 is: 200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 343.37 = 145.31 : x
  2. Step 2: Convert to fraction form
    248.81/343.37 = 145.31/x
  3. Step 3: Cross multiply
    248.81x = 343.37 × 145.31
  4. Step 4: Simplify right side
    248.81x = 49,895.23
  5. Step 5: Solve for x
    x = 49,895.23/248.81
  6. Step 6: Final answer
    x = 200.53

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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.