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Finding the Fourth Proportional to 358.83, 494.61 and 248.13

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Solution

The fourth proportional to 358.83, 494.61 and 248.13 is: 342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.83 : 494.61 = 248.13 : x
  2. Step 2: Convert to fraction form
    358.83/494.61 = 248.13/x
  3. Step 3: Cross multiply
    358.83x = 494.61 × 248.13
  4. Step 4: Simplify right side
    358.83x = 122,726.65
  5. Step 5: Solve for x
    x = 122,726.65/358.83
  6. Step 6: Final answer
    x = 342.02

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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.