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Finding the Fourth Proportional to 191.46, 287.04 and 83.33

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Solution

The fourth proportional to 191.46, 287.04 and 83.33 is: 124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.46 : 287.04 = 83.33 : x
  2. Step 2: Convert to fraction form
    191.46/287.04 = 83.33/x
  3. Step 3: Cross multiply
    191.46x = 287.04 × 83.33
  4. Step 4: Simplify right side
    191.46x = 23,919.00
  5. Step 5: Solve for x
    x = 23,919.00/191.46
  6. Step 6: Final answer
    x = 124.93

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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.