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Finding the Fourth Proportional to 346.60, 478.37 and 199.23

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Solution

The fourth proportional to 346.60, 478.37 and 199.23 is: 274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.60 : 478.37 = 199.23 : x
  2. Step 2: Convert to fraction form
    346.60/478.37 = 199.23/x
  3. Step 3: Cross multiply
    346.60x = 478.37 × 199.23
  4. Step 4: Simplify right side
    346.60x = 95,305.66
  5. Step 5: Solve for x
    x = 95,305.66/346.60
  6. Step 6: Final answer
    x = 274.97

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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.