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Finding the Fourth Proportional to 242.99, 364.49 and 191.91

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Solution

The fourth proportional to 242.99, 364.49 and 191.91 is: 287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.99 : 364.49 = 191.91 : x
  2. Step 2: Convert to fraction form
    242.99/364.49 = 191.91/x
  3. Step 3: Cross multiply
    242.99x = 364.49 × 191.91
  4. Step 4: Simplify right side
    242.99x = 69,949.28
  5. Step 5: Solve for x
    x = 69,949.28/242.99
  6. Step 6: Final answer
    x = 287.87

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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.