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Finding the Fourth Proportional to 279.51, 419.27 and 96.91

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Solution

The fourth proportional to 279.51, 419.27 and 96.91 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.51 : 419.27 = 96.91 : x
  2. Step 2: Convert to fraction form
    279.51/419.27 = 96.91/x
  3. Step 3: Cross multiply
    279.51x = 419.27 × 96.91
  4. Step 4: Simplify right side
    279.51x = 40,632.31
  5. Step 5: Solve for x
    x = 40,632.31/279.51
  6. Step 6: Final answer
    x = 145.37

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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.