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Finding the Fourth Proportional to 279.99, 419.92 and 97.34

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Solution

The fourth proportional to 279.99, 419.92 and 97.34 is: 145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.99 : 419.92 = 97.34 : x
  2. Step 2: Convert to fraction form
    279.99/419.92 = 97.34/x
  3. Step 3: Cross multiply
    279.99x = 419.92 × 97.34
  4. Step 4: Simplify right side
    279.99x = 40,872.67
  5. Step 5: Solve for x
    x = 40,872.67/279.99
  6. Step 6: Final answer
    x = 145.98

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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.