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Finding the Fourth Proportional to 349.06, 481.57 and 201.62

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Solution

The fourth proportional to 349.06, 481.57 and 201.62 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.06 : 481.57 = 201.62 : x
  2. Step 2: Convert to fraction form
    349.06/481.57 = 201.62/x
  3. Step 3: Cross multiply
    349.06x = 481.57 × 201.62
  4. Step 4: Simplify right side
    349.06x = 97,094.14
  5. Step 5: Solve for x
    x = 97,094.14/349.06
  6. Step 6: Final answer
    x = 278.16

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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.