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Finding the Fourth Proportional to 346.58, 478.17 and 199.19

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Solution

The fourth proportional to 346.58, 478.17 and 199.19 is: 274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.58 : 478.17 = 199.19 : x
  2. Step 2: Convert to fraction form
    346.58/478.17 = 199.19/x
  3. Step 3: Cross multiply
    346.58x = 478.17 × 199.19
  4. Step 4: Simplify right side
    346.58x = 95,247.88
  5. Step 5: Solve for x
    x = 95,247.88/346.58
  6. Step 6: Final answer
    x = 274.82

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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.