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Finding the Fourth Proportional to 191.23, 263.64 and 147

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Solution

The fourth proportional to 191.23, 263.64 and 147 is: 202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.23 : 263.64 = 147 : x
  2. Step 2: Convert to fraction form
    191.23/263.64 = 147/x
  3. Step 3: Cross multiply
    191.23x = 263.64 × 147
  4. Step 4: Simplify right side
    191.23x = 38,755.08
  5. Step 5: Solve for x
    x = 38,755.08/191.23
  6. Step 6: Final answer
    x = 202.66

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