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Finding the Fourth Proportional to 346.50, 478.23 and 199.14

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Solution

The fourth proportional to 346.50, 478.23 and 199.14 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.50 : 478.23 = 199.14 : x
  2. Step 2: Convert to fraction form
    346.50/478.23 = 199.14/x
  3. Step 3: Cross multiply
    346.50x = 478.23 × 199.14
  4. Step 4: Simplify right side
    346.50x = 95,234.72
  5. Step 5: Solve for x
    x = 95,234.72/346.50
  6. Step 6: Final answer
    x = 274.85

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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.