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Finding the Fourth Proportional to 199.35, 297.96 and 195.24

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Solution

The fourth proportional to 199.35, 297.96 and 195.24 is: 291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 297.96 = 195.24 : x
  2. Step 2: Convert to fraction form
    199.35/297.96 = 195.24/x
  3. Step 3: Cross multiply
    199.35x = 297.96 × 195.24
  4. Step 4: Simplify right side
    199.35x = 58,173.71
  5. Step 5: Solve for x
    x = 58,173.71/199.35
  6. Step 6: Final answer
    x = 291.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.