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Finding the Fourth Proportional to 280.24, 420.36 and 226

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Solution

The fourth proportional to 280.24, 420.36 and 226 is: 339

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 420.36 = 226 : x
  2. Step 2: Convert to fraction form
    280.24/420.36 = 226/x
  3. Step 3: Cross multiply
    280.24x = 420.36 × 226
  4. Step 4: Simplify right side
    280.24x = 95,001.36
  5. Step 5: Solve for x
    x = 95,001.36/280.24
  6. Step 6: Final answer
    x = 339

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.