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Finding the Fourth Proportional to 196.90, 294.93 and 160.66

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Solution

The fourth proportional to 196.90, 294.93 and 160.66 is: 240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 294.93 = 160.66 : x
  2. Step 2: Convert to fraction form
    196.90/294.93 = 160.66/x
  3. Step 3: Cross multiply
    196.90x = 294.93 × 160.66
  4. Step 4: Simplify right side
    196.90x = 47,383.45
  5. Step 5: Solve for x
    x = 47,383.45/196.90
  6. Step 6: Final answer
    x = 240.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.