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Finding the Fourth Proportional to 280.48, 386.60 and 230.80

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Solution

The fourth proportional to 280.48, 386.60 and 230.80 is: 318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.48 : 386.60 = 230.80 : x
  2. Step 2: Convert to fraction form
    280.48/386.60 = 230.80/x
  3. Step 3: Cross multiply
    280.48x = 386.60 × 230.80
  4. Step 4: Simplify right side
    280.48x = 89,227.28
  5. Step 5: Solve for x
    x = 89,227.28/280.48
  6. Step 6: Final answer
    x = 318.12

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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.