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Finding the Fourth Proportional to 346.56, 478.22 and 199.17

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Solution

The fourth proportional to 346.56, 478.22 and 199.17 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.56 : 478.22 = 199.17 : x
  2. Step 2: Convert to fraction form
    346.56/478.22 = 199.17/x
  3. Step 3: Cross multiply
    346.56x = 478.22 × 199.17
  4. Step 4: Simplify right side
    346.56x = 95,246.08
  5. Step 5: Solve for x
    x = 95,246.08/346.56
  6. Step 6: Final answer
    x = 274.83

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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.