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Finding the Fourth Proportional to 248.84, 371.73 and 202.44

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Solution

The fourth proportional to 248.84, 371.73 and 202.44 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.84 : 371.73 = 202.44 : x
  2. Step 2: Convert to fraction form
    248.84/371.73 = 202.44/x
  3. Step 3: Cross multiply
    248.84x = 371.73 × 202.44
  4. Step 4: Simplify right side
    248.84x = 75,253.02
  5. Step 5: Solve for x
    x = 75,253.02/248.84
  6. Step 6: Final answer
    x = 302.42

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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.