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Finding the Fourth Proportional to 191.62, 263.97 and 147.94

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Solution

The fourth proportional to 191.62, 263.97 and 147.94 is: 203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.62 : 263.97 = 147.94 : x
  2. Step 2: Convert to fraction form
    191.62/263.97 = 147.94/x
  3. Step 3: Cross multiply
    191.62x = 263.97 × 147.94
  4. Step 4: Simplify right side
    191.62x = 39,051.72
  5. Step 5: Solve for x
    x = 39,051.72/191.62
  6. Step 6: Final answer
    x = 203.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.