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Finding the Fourth Proportional to 342.82, 473.17 and 218.38

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Solution

The fourth proportional to 342.82, 473.17 and 218.38 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.82 : 473.17 = 218.38 : x
  2. Step 2: Convert to fraction form
    342.82/473.17 = 218.38/x
  3. Step 3: Cross multiply
    342.82x = 473.17 × 218.38
  4. Step 4: Simplify right side
    342.82x = 103,330.86
  5. Step 5: Solve for x
    x = 103,330.86/342.82
  6. Step 6: Final answer
    x = 301.41

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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.