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Finding the Fourth Proportional to 278.08, 416.35 and 191.23

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Solution

The fourth proportional to 278.08, 416.35 and 191.23 is: 286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 416.35 = 191.23 : x
  2. Step 2: Convert to fraction form
    278.08/416.35 = 191.23/x
  3. Step 3: Cross multiply
    278.08x = 416.35 × 191.23
  4. Step 4: Simplify right side
    278.08x = 79,618.61
  5. Step 5: Solve for x
    x = 79,618.61/278.08
  6. Step 6: Final answer
    x = 286.32

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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.