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Finding the Fourth Proportional to 393.71, 590.36 and 159.24

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Solution

The fourth proportional to 393.71, 590.36 and 159.24 is: 238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.71 : 590.36 = 159.24 : x
  2. Step 2: Convert to fraction form
    393.71/590.36 = 159.24/x
  3. Step 3: Cross multiply
    393.71x = 590.36 × 159.24
  4. Step 4: Simplify right side
    393.71x = 94,008.13
  5. Step 5: Solve for x
    x = 94,008.13/393.71
  6. Step 6: Final answer
    x = 238.77

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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.