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Finding the Fourth Proportional to 393.56, 590.34 and 105.00

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Solution

The fourth proportional to 393.56, 590.34 and 105.00 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.56 : 590.34 = 105.00 : x
  2. Step 2: Convert to fraction form
    393.56/590.34 = 105.00/x
  3. Step 3: Cross multiply
    393.56x = 590.34 × 105.00
  4. Step 4: Simplify right side
    393.56x = 61,982.22
  5. Step 5: Solve for x
    x = 61,982.22/393.56
  6. Step 6: Final answer
    x = 157.49

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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.