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Finding the Fourth Proportional to 299.57, 449.34 and 117.08

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Solution

The fourth proportional to 299.57, 449.34 and 117.08 is: 175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 449.34 = 117.08 : x
  2. Step 2: Convert to fraction form
    299.57/449.34 = 117.08/x
  3. Step 3: Cross multiply
    299.57x = 449.34 × 117.08
  4. Step 4: Simplify right side
    299.57x = 52,607.73
  5. Step 5: Solve for x
    x = 52,607.73/299.57
  6. Step 6: Final answer
    x = 175.61

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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.