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Finding the Fourth Proportional to 279.46, 385.81 and 224.10

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Solution

The fourth proportional to 279.46, 385.81 and 224.10 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.46 : 385.81 = 224.10 : x
  2. Step 2: Convert to fraction form
    279.46/385.81 = 224.10/x
  3. Step 3: Cross multiply
    279.46x = 385.81 × 224.10
  4. Step 4: Simplify right side
    279.46x = 86,460.02
  5. Step 5: Solve for x
    x = 86,460.02/279.46
  6. Step 6: Final answer
    x = 309.38

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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.