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Finding the Fourth Proportional to 248.50, 371.08 and 202.74

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Solution

The fourth proportional to 248.50, 371.08 and 202.74 is: 302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.50 : 371.08 = 202.74 : x
  2. Step 2: Convert to fraction form
    248.50/371.08 = 202.74/x
  3. Step 3: Cross multiply
    248.50x = 371.08 × 202.74
  4. Step 4: Simplify right side
    248.50x = 75,232.76
  5. Step 5: Solve for x
    x = 75,232.76/248.50
  6. Step 6: Final answer
    x = 302.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.