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Finding the Fourth Proportional to 191.58, 287.37 and 100.16

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Solution

The fourth proportional to 191.58, 287.37 and 100.16 is: 150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.58 : 287.37 = 100.16 : x
  2. Step 2: Convert to fraction form
    191.58/287.37 = 100.16/x
  3. Step 3: Cross multiply
    191.58x = 287.37 × 100.16
  4. Step 4: Simplify right side
    191.58x = 28,781.54
  5. Step 5: Solve for x
    x = 28,781.54/191.58
  6. Step 6: Final answer
    x = 150.23

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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.