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Finding the Fourth Proportional to 194.46, 290.88 and 159.83

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Solution

The fourth proportional to 194.46, 290.88 and 159.83 is: 239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.46 : 290.88 = 159.83 : x
  2. Step 2: Convert to fraction form
    194.46/290.88 = 159.83/x
  3. Step 3: Cross multiply
    194.46x = 290.88 × 159.83
  4. Step 4: Simplify right side
    194.46x = 46,491.35
  5. Step 5: Solve for x
    x = 46,491.35/194.46
  6. Step 6: Final answer
    x = 239.08

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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.