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Finding the Fourth Proportional to 349.10, 481.74 and 218.06

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Solution

The fourth proportional to 349.10, 481.74 and 218.06 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.10 : 481.74 = 218.06 : x
  2. Step 2: Convert to fraction form
    349.10/481.74 = 218.06/x
  3. Step 3: Cross multiply
    349.10x = 481.74 × 218.06
  4. Step 4: Simplify right side
    349.10x = 105,048.22
  5. Step 5: Solve for x
    x = 105,048.22/349.10
  6. Step 6: Final answer
    x = 300.91

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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.