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Finding the Fourth Proportional to 279.95, 419.97 and 97.35

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Solution

The fourth proportional to 279.95, 419.97 and 97.35 is: 146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.95 : 419.97 = 97.35 : x
  2. Step 2: Convert to fraction form
    279.95/419.97 = 97.35/x
  3. Step 3: Cross multiply
    279.95x = 419.97 × 97.35
  4. Step 4: Simplify right side
    279.95x = 40,884.08
  5. Step 5: Solve for x
    x = 40,884.08/279.95
  6. Step 6: Final answer
    x = 146.04

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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.