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Finding the Fourth Proportional to 346.61, 478.21 and 199.14

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Solution

The fourth proportional to 346.61, 478.21 and 199.14 is: 274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.61 : 478.21 = 199.14 : x
  2. Step 2: Convert to fraction form
    346.61/478.21 = 199.14/x
  3. Step 3: Cross multiply
    346.61x = 478.21 × 199.14
  4. Step 4: Simplify right side
    346.61x = 95,229.74
  5. Step 5: Solve for x
    x = 95,229.74/346.61
  6. Step 6: Final answer
    x = 274.75

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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.