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Finding the Fourth Proportional to 392.88, 542.19 and 218.23

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Solution

The fourth proportional to 392.88, 542.19 and 218.23 is: 301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.88 : 542.19 = 218.23 : x
  2. Step 2: Convert to fraction form
    392.88/542.19 = 218.23/x
  3. Step 3: Cross multiply
    392.88x = 542.19 × 218.23
  4. Step 4: Simplify right side
    392.88x = 118,322.12
  5. Step 5: Solve for x
    x = 118,322.12/392.88
  6. Step 6: Final answer
    x = 301.17

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