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Finding the Fourth Proportional to 248.02, 371.46 and 145.36

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Solution

The fourth proportional to 248.02, 371.46 and 145.36 is: 217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.02 : 371.46 = 145.36 : x
  2. Step 2: Convert to fraction form
    248.02/371.46 = 145.36/x
  3. Step 3: Cross multiply
    248.02x = 371.46 × 145.36
  4. Step 4: Simplify right side
    248.02x = 53,995.43
  5. Step 5: Solve for x
    x = 53,995.43/248.02
  6. Step 6: Final answer
    x = 217.71

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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.