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Finding the Fourth Proportional to 349.97, 482.82 and 218.93

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Solution

The fourth proportional to 349.97, 482.82 and 218.93 is: 302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.97 : 482.82 = 218.93 : x
  2. Step 2: Convert to fraction form
    349.97/482.82 = 218.93/x
  3. Step 3: Cross multiply
    349.97x = 482.82 × 218.93
  4. Step 4: Simplify right side
    349.97x = 105,703.78
  5. Step 5: Solve for x
    x = 105,703.78/349.97
  6. Step 6: Final answer
    x = 302.04

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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.