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Finding the Fourth Proportional to 358.80, 494.40 and 248.23

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Solution

The fourth proportional to 358.80, 494.40 and 248.23 is: 342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 494.40 = 248.23 : x
  2. Step 2: Convert to fraction form
    358.80/494.40 = 248.23/x
  3. Step 3: Cross multiply
    358.80x = 494.40 × 248.23
  4. Step 4: Simplify right side
    358.80x = 122,724.91
  5. Step 5: Solve for x
    x = 122,724.91/358.80
  6. Step 6: Final answer
    x = 342.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.