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Finding the Fourth Proportional to 248.06, 371.64 and 155.27

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Solution

The fourth proportional to 248.06, 371.64 and 155.27 is: 232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.06 : 371.64 = 155.27 : x
  2. Step 2: Convert to fraction form
    248.06/371.64 = 155.27/x
  3. Step 3: Cross multiply
    248.06x = 371.64 × 155.27
  4. Step 4: Simplify right side
    248.06x = 57,703.09
  5. Step 5: Solve for x
    x = 57,703.09/248.06
  6. Step 6: Final answer
    x = 232.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.