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Finding the Fourth Proportional to 248.23, 342.46 and 149.95

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Solution

The fourth proportional to 248.23, 342.46 and 149.95 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.23 : 342.46 = 149.95 : x
  2. Step 2: Convert to fraction form
    248.23/342.46 = 149.95/x
  3. Step 3: Cross multiply
    248.23x = 342.46 × 149.95
  4. Step 4: Simplify right side
    248.23x = 51,351.02
  5. Step 5: Solve for x
    x = 51,351.02/248.23
  6. Step 6: Final answer
    x = 206.87

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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.