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Finding the Fourth Proportional to 280.33, 420.21 and 171.91

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Solution

The fourth proportional to 280.33, 420.21 and 171.91 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.33 : 420.21 = 171.91 : x
  2. Step 2: Convert to fraction form
    280.33/420.21 = 171.91/x
  3. Step 3: Cross multiply
    280.33x = 420.21 × 171.91
  4. Step 4: Simplify right side
    280.33x = 72,238.30
  5. Step 5: Solve for x
    x = 72,238.30/280.33
  6. Step 6: Final answer
    x = 257.69

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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.