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Finding the Fourth Proportional to 393.70, 590.70 and 159.46

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Solution

The fourth proportional to 393.70, 590.70 and 159.46 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.70 : 590.70 = 159.46 : x
  2. Step 2: Convert to fraction form
    393.70/590.70 = 159.46/x
  3. Step 3: Cross multiply
    393.70x = 590.70 × 159.46
  4. Step 4: Simplify right side
    393.70x = 94,193.02
  5. Step 5: Solve for x
    x = 94,193.02/393.70
  6. Step 6: Final answer
    x = 239.25

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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.