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Finding the Fourth Proportional to 349.08, 523.28 and 194.98

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Solution

The fourth proportional to 349.08, 523.28 and 194.98 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.08 : 523.28 = 194.98 : x
  2. Step 2: Convert to fraction form
    349.08/523.28 = 194.98/x
  3. Step 3: Cross multiply
    349.08x = 523.28 × 194.98
  4. Step 4: Simplify right side
    349.08x = 102,029.13
  5. Step 5: Solve for x
    x = 102,029.13/349.08
  6. Step 6: Final answer
    x = 292.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.