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Finding the Fourth Proportional to 342.67, 472.63 and 218.41

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Solution

The fourth proportional to 342.67, 472.63 and 218.41 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.67 : 472.63 = 218.41 : x
  2. Step 2: Convert to fraction form
    342.67/472.63 = 218.41/x
  3. Step 3: Cross multiply
    342.67x = 472.63 × 218.41
  4. Step 4: Simplify right side
    342.67x = 103,227.12
  5. Step 5: Solve for x
    x = 103,227.12/342.67
  6. Step 6: Final answer
    x = 301.24

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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.