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Finding the Fourth Proportional to 280.17, 386.37 and 206.66

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Solution

The fourth proportional to 280.17, 386.37 and 206.66 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 386.37 = 206.66 : x
  2. Step 2: Convert to fraction form
    280.17/386.37 = 206.66/x
  3. Step 3: Cross multiply
    280.17x = 386.37 × 206.66
  4. Step 4: Simplify right side
    280.17x = 79,845.29
  5. Step 5: Solve for x
    x = 79,845.29/280.17
  6. Step 6: Final answer
    x = 284.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.