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Finding the Fourth Proportional to 279.69, 419.51 and 97.06

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Solution

The fourth proportional to 279.69, 419.51 and 97.06 is: 145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.69 : 419.51 = 97.06 : x
  2. Step 2: Convert to fraction form
    279.69/419.51 = 97.06/x
  3. Step 3: Cross multiply
    279.69x = 419.51 × 97.06
  4. Step 4: Simplify right side
    279.69x = 40,716.83
  5. Step 5: Solve for x
    x = 40,716.83/279.69
  6. Step 6: Final answer
    x = 145.58

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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.