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Finding the Fourth Proportional to 191.07, 263.70 and 112.43

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Solution

The fourth proportional to 191.07, 263.70 and 112.43 is: 155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.07 : 263.70 = 112.43 : x
  2. Step 2: Convert to fraction form
    191.07/263.70 = 112.43/x
  3. Step 3: Cross multiply
    191.07x = 263.70 × 112.43
  4. Step 4: Simplify right side
    191.07x = 29,646.47
  5. Step 5: Solve for x
    x = 29,646.47/191.07
  6. Step 6: Final answer
    x = 155.16

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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.