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Finding the Fourth Proportional to 358.71, 494.15 and 248.00

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Solution

The fourth proportional to 358.71, 494.15 and 248.00 is: 341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.71 : 494.15 = 248.00 : x
  2. Step 2: Convert to fraction form
    358.71/494.15 = 248.00/x
  3. Step 3: Cross multiply
    358.71x = 494.15 × 248.00
  4. Step 4: Simplify right side
    358.71x = 122,545.49
  5. Step 5: Solve for x
    x = 122,545.49/358.71
  6. Step 6: Final answer
    x = 341.63

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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.