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Finding the Fourth Proportional to 393.77, 590.71 and 146.97

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Solution

The fourth proportional to 393.77, 590.71 and 146.97 is: 220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.77 : 590.71 = 146.97 : x
  2. Step 2: Convert to fraction form
    393.77/590.71 = 146.97/x
  3. Step 3: Cross multiply
    393.77x = 590.71 × 146.97
  4. Step 4: Simplify right side
    393.77x = 86,816.65
  5. Step 5: Solve for x
    x = 86,816.65/393.77
  6. Step 6: Final answer
    x = 220.48

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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.