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Finding the Fourth Proportional to 299.09, 448.64 and 170.75

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Solution

The fourth proportional to 299.09, 448.64 and 170.75 is: 256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 448.64 = 170.75 : x
  2. Step 2: Convert to fraction form
    299.09/448.64 = 170.75/x
  3. Step 3: Cross multiply
    299.09x = 448.64 × 170.75
  4. Step 4: Simplify right side
    299.09x = 76,605.28
  5. Step 5: Solve for x
    x = 76,605.28/299.09
  6. Step 6: Final answer
    x = 256.13

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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.