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Finding the Fourth Proportional to 393.66, 590.49 and 105.12

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Solution

The fourth proportional to 393.66, 590.49 and 105.12 is: 157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.66 : 590.49 = 105.12 : x
  2. Step 2: Convert to fraction form
    393.66/590.49 = 105.12/x
  3. Step 3: Cross multiply
    393.66x = 590.49 × 105.12
  4. Step 4: Simplify right side
    393.66x = 62,072.31
  5. Step 5: Solve for x
    x = 62,072.31/393.66
  6. Step 6: Final answer
    x = 157.68

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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.