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Finding the Fourth Proportional to 242.29, 363.49 and 79.99

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Solution

The fourth proportional to 242.29, 363.49 and 79.99 is: 120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.29 : 363.49 = 79.99 : x
  2. Step 2: Convert to fraction form
    242.29/363.49 = 79.99/x
  3. Step 3: Cross multiply
    242.29x = 363.49 × 79.99
  4. Step 4: Simplify right side
    242.29x = 29,074.46
  5. Step 5: Solve for x
    x = 29,074.46/242.29
  6. Step 6: Final answer
    x = 120.00

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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.