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Finding the Fourth Proportional to 279.77, 419.64 and 97.13

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Solution

The fourth proportional to 279.77, 419.64 and 97.13 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.77 : 419.64 = 97.13 : x
  2. Step 2: Convert to fraction form
    279.77/419.64 = 97.13/x
  3. Step 3: Cross multiply
    279.77x = 419.64 × 97.13
  4. Step 4: Simplify right side
    279.77x = 40,757.54
  5. Step 5: Solve for x
    x = 40,757.54/279.77
  6. Step 6: Final answer
    x = 145.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.