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Finding the Fourth Proportional to 316.85, 474.30 and 248.13

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Solution

The fourth proportional to 316.85, 474.30 and 248.13 is: 371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.85 : 474.30 = 248.13 : x
  2. Step 2: Convert to fraction form
    316.85/474.30 = 248.13/x
  3. Step 3: Cross multiply
    316.85x = 474.30 × 248.13
  4. Step 4: Simplify right side
    316.85x = 117,688.06
  5. Step 5: Solve for x
    x = 117,688.06/316.85
  6. Step 6: Final answer
    x = 371.44

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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.