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Finding the Fourth Proportional to 280.14, 386.65 and 191.80

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Solution

The fourth proportional to 280.14, 386.65 and 191.80 is: 264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 386.65 = 191.80 : x
  2. Step 2: Convert to fraction form
    280.14/386.65 = 191.80/x
  3. Step 3: Cross multiply
    280.14x = 386.65 × 191.80
  4. Step 4: Simplify right side
    280.14x = 74,158.02
  5. Step 5: Solve for x
    x = 74,158.02/280.14
  6. Step 6: Final answer
    x = 264.72

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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.