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Finding the Fourth Proportional to 280.18, 386.40 and 224.56

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Solution

The fourth proportional to 280.18, 386.40 and 224.56 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.18 : 386.40 = 224.56 : x
  2. Step 2: Convert to fraction form
    280.18/386.40 = 224.56/x
  3. Step 3: Cross multiply
    280.18x = 386.40 × 224.56
  4. Step 4: Simplify right side
    280.18x = 86,769.98
  5. Step 5: Solve for x
    x = 86,769.98/280.18
  6. Step 6: Final answer
    x = 309.69

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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.