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Finding the Fourth Proportional to 196.20, 294.96 and 158.16

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Solution

The fourth proportional to 196.20, 294.96 and 158.16 is: 237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 294.96 = 158.16 : x
  2. Step 2: Convert to fraction form
    196.20/294.96 = 158.16/x
  3. Step 3: Cross multiply
    196.20x = 294.96 × 158.16
  4. Step 4: Simplify right side
    196.20x = 46,650.87
  5. Step 5: Solve for x
    x = 46,650.87/196.20
  6. Step 6: Final answer
    x = 237.77

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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.