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Finding the Fourth Proportional to 349.86, 482.98 and 218.92

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Solution

The fourth proportional to 349.86, 482.98 and 218.92 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.86 : 482.98 = 218.92 : x
  2. Step 2: Convert to fraction form
    349.86/482.98 = 218.92/x
  3. Step 3: Cross multiply
    349.86x = 482.98 × 218.92
  4. Step 4: Simplify right side
    349.86x = 105,733.98
  5. Step 5: Solve for x
    x = 105,733.98/349.86
  6. Step 6: Final answer
    x = 302.22

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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.