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Finding the Fourth Proportional to 279.19, 419.19 and 202.24

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Solution

The fourth proportional to 279.19, 419.19 and 202.24 is: 303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 419.19 = 202.24 : x
  2. Step 2: Convert to fraction form
    279.19/419.19 = 202.24/x
  3. Step 3: Cross multiply
    279.19x = 419.19 × 202.24
  4. Step 4: Simplify right side
    279.19x = 84,776.99
  5. Step 5: Solve for x
    x = 84,776.99/279.19
  6. Step 6: Final answer
    x = 303.65

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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.