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Finding the Fourth Proportional to 343.34, 473.66 and 218.78

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Solution

The fourth proportional to 343.34, 473.66 and 218.78 is: 301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.34 : 473.66 = 218.78 : x
  2. Step 2: Convert to fraction form
    343.34/473.66 = 218.78/x
  3. Step 3: Cross multiply
    343.34x = 473.66 × 218.78
  4. Step 4: Simplify right side
    343.34x = 103,627.33
  5. Step 5: Solve for x
    x = 103,627.33/343.34
  6. Step 6: Final answer
    x = 301.82

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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.