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Finding the Fourth Proportional to 279.66, 419.65 and 97.19

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Solution

The fourth proportional to 279.66, 419.65 and 97.19 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.66 : 419.65 = 97.19 : x
  2. Step 2: Convert to fraction form
    279.66/419.65 = 97.19/x
  3. Step 3: Cross multiply
    279.66x = 419.65 × 97.19
  4. Step 4: Simplify right side
    279.66x = 40,783.20
  5. Step 5: Solve for x
    x = 40,783.20/279.66
  6. Step 6: Final answer
    x = 145.83

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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.