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Finding the Fourth Proportional to 239.77, 358.84 and 194.23

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Solution

The fourth proportional to 239.77, 358.84 and 194.23 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.77 : 358.84 = 194.23 : x
  2. Step 2: Convert to fraction form
    239.77/358.84 = 194.23/x
  3. Step 3: Cross multiply
    239.77x = 358.84 × 194.23
  4. Step 4: Simplify right side
    239.77x = 69,697.49
  5. Step 5: Solve for x
    x = 69,697.49/239.77
  6. Step 6: Final answer
    x = 290.68

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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.