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Finding the Fourth Proportional to 279.51, 419.16 and 96.85

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Solution

The fourth proportional to 279.51, 419.16 and 96.85 is: 145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.51 : 419.16 = 96.85 : x
  2. Step 2: Convert to fraction form
    279.51/419.16 = 96.85/x
  3. Step 3: Cross multiply
    279.51x = 419.16 × 96.85
  4. Step 4: Simplify right side
    279.51x = 40,595.65
  5. Step 5: Solve for x
    x = 40,595.65/279.51
  6. Step 6: Final answer
    x = 145.24

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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.