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Finding the Fourth Proportional to 299.85, 449.64 and 117.15

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Solution

The fourth proportional to 299.85, 449.64 and 117.15 is: 175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.85 : 449.64 = 117.15 : x
  2. Step 2: Convert to fraction form
    299.85/449.64 = 117.15/x
  3. Step 3: Cross multiply
    299.85x = 449.64 × 117.15
  4. Step 4: Simplify right side
    299.85x = 52,675.33
  5. Step 5: Solve for x
    x = 52,675.33/299.85
  6. Step 6: Final answer
    x = 175.67

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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.