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Finding the Fourth Proportional to 299.07, 448.82 and 106.70

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Solution

The fourth proportional to 299.07, 448.82 and 106.70 is: 160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 448.82 = 106.70 : x
  2. Step 2: Convert to fraction form
    299.07/448.82 = 106.70/x
  3. Step 3: Cross multiply
    299.07x = 448.82 × 106.70
  4. Step 4: Simplify right side
    299.07x = 47,886.32
  5. Step 5: Solve for x
    x = 47,886.32/299.07
  6. Step 6: Final answer
    x = 160.12

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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.