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Finding the Fourth Proportional to 248.24, 342.51 and 149.97

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Solution

The fourth proportional to 248.24, 342.51 and 149.97 is: 206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 342.51 = 149.97 : x
  2. Step 2: Convert to fraction form
    248.24/342.51 = 149.97/x
  3. Step 3: Cross multiply
    248.24x = 342.51 × 149.97
  4. Step 4: Simplify right side
    248.24x = 51,366.22
  5. Step 5: Solve for x
    x = 51,366.22/248.24
  6. Step 6: Final answer
    x = 206.93

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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.