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Finding the Fourth Proportional to 196.90, 294.94 and 158.17

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Solution

The fourth proportional to 196.90, 294.94 and 158.17 is: 236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 294.94 = 158.17 : x
  2. Step 2: Convert to fraction form
    196.90/294.94 = 158.17/x
  3. Step 3: Cross multiply
    196.90x = 294.94 × 158.17
  4. Step 4: Simplify right side
    196.90x = 46,650.67
  5. Step 5: Solve for x
    x = 46,650.67/196.90
  6. Step 6: Final answer
    x = 236.93

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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.