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Finding the Fourth Proportional to 392.92, 542.23 and 218.26

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Solution

The fourth proportional to 392.92, 542.23 and 218.26 is: 301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.92 : 542.23 = 218.26 : x
  2. Step 2: Convert to fraction form
    392.92/542.23 = 218.26/x
  3. Step 3: Cross multiply
    392.92x = 542.23 × 218.26
  4. Step 4: Simplify right side
    392.92x = 118,345.22
  5. Step 5: Solve for x
    x = 118,345.22/392.92
  6. Step 6: Final answer
    x = 301.20

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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.