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Finding the Fourth Proportional to 248.48, 342.86 and 150.27

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Solution

The fourth proportional to 248.48, 342.86 and 150.27 is: 207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.48 : 342.86 = 150.27 : x
  2. Step 2: Convert to fraction form
    248.48/342.86 = 150.27/x
  3. Step 3: Cross multiply
    248.48x = 342.86 × 150.27
  4. Step 4: Simplify right side
    248.48x = 51,521.57
  5. Step 5: Solve for x
    x = 51,521.57/248.48
  6. Step 6: Final answer
    x = 207.35

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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.