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Finding the Fourth Proportional to 280.61, 387.36 and 193.71

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Solution

The fourth proportional to 280.61, 387.36 and 193.71 is: 267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.61 : 387.36 = 193.71 : x
  2. Step 2: Convert to fraction form
    280.61/387.36 = 193.71/x
  3. Step 3: Cross multiply
    280.61x = 387.36 × 193.71
  4. Step 4: Simplify right side
    280.61x = 75,035.51
  5. Step 5: Solve for x
    x = 75,035.51/280.61
  6. Step 6: Final answer
    x = 267.41

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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.