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Finding the Fourth Proportional to 194.58, 291.96 and 158.76

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Solution

The fourth proportional to 194.58, 291.96 and 158.76 is: 238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 291.96 = 158.76 : x
  2. Step 2: Convert to fraction form
    194.58/291.96 = 158.76/x
  3. Step 3: Cross multiply
    194.58x = 291.96 × 158.76
  4. Step 4: Simplify right side
    194.58x = 46,351.57
  5. Step 5: Solve for x
    x = 46,351.57/194.58
  6. Step 6: Final answer
    x = 238.21

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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.