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Finding the Fourth Proportional to 299.57, 449.35 and 117.01

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Solution

The fourth proportional to 299.57, 449.35 and 117.01 is: 175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 449.35 = 117.01 : x
  2. Step 2: Convert to fraction form
    299.57/449.35 = 117.01/x
  3. Step 3: Cross multiply
    299.57x = 449.35 × 117.01
  4. Step 4: Simplify right side
    299.57x = 52,578.71
  5. Step 5: Solve for x
    x = 52,578.71/299.57
  6. Step 6: Final answer
    x = 175.52

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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.