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Finding the Fourth Proportional to 280.82, 420.92 and 183.06

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Solution

The fourth proportional to 280.82, 420.92 and 183.06 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 420.92 = 183.06 : x
  2. Step 2: Convert to fraction form
    280.82/420.92 = 183.06/x
  3. Step 3: Cross multiply
    280.82x = 420.92 × 183.06
  4. Step 4: Simplify right side
    280.82x = 77,053.62
  5. Step 5: Solve for x
    x = 77,053.62/280.82
  6. Step 6: Final answer
    x = 274.39

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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.