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Finding the Fourth Proportional to 279.99, 419.90 and 97.35

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Solution

The fourth proportional to 279.99, 419.90 and 97.35 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.99 : 419.90 = 97.35 : x
  2. Step 2: Convert to fraction form
    279.99/419.90 = 97.35/x
  3. Step 3: Cross multiply
    279.99x = 419.90 × 97.35
  4. Step 4: Simplify right side
    279.99x = 40,876.78
  5. Step 5: Solve for x
    x = 40,876.78/279.99
  6. Step 6: Final answer
    x = 145.99

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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.