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Finding the Fourth Proportional to 280.73, 386.98 and 218.45

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Solution

The fourth proportional to 280.73, 386.98 and 218.45 is: 301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.73 : 386.98 = 218.45 : x
  2. Step 2: Convert to fraction form
    280.73/386.98 = 218.45/x
  3. Step 3: Cross multiply
    280.73x = 386.98 × 218.45
  4. Step 4: Simplify right side
    280.73x = 84,533.30
  5. Step 5: Solve for x
    x = 84,533.30/280.73
  6. Step 6: Final answer
    x = 301.12

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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.