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Finding the Fourth Proportional to 300.01, 449.79 and 117.31

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Solution

The fourth proportional to 300.01, 449.79 and 117.31 is: 175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.01 : 449.79 = 117.31 : x
  2. Step 2: Convert to fraction form
    300.01/449.79 = 117.31/x
  3. Step 3: Cross multiply
    300.01x = 449.79 × 117.31
  4. Step 4: Simplify right side
    300.01x = 52,763.74
  5. Step 5: Solve for x
    x = 52,763.74/300.01
  6. Step 6: Final answer
    x = 175.87

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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.