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Finding the Fourth Proportional to 346.45, 478.21 and 199.23

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Solution

The fourth proportional to 346.45, 478.21 and 199.23 is: 275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.45 : 478.21 = 199.23 : x
  2. Step 2: Convert to fraction form
    346.45/478.21 = 199.23/x
  3. Step 3: Cross multiply
    346.45x = 478.21 × 199.23
  4. Step 4: Simplify right side
    346.45x = 95,273.78
  5. Step 5: Solve for x
    x = 95,273.78/346.45
  6. Step 6: Final answer
    x = 275.00

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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.