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Finding the Fourth Proportional to 280.52, 420.84 and 116

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Solution

The fourth proportional to 280.52, 420.84 and 116 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 420.84 = 116 : x
  2. Step 2: Convert to fraction form
    280.52/420.84 = 116/x
  3. Step 3: Cross multiply
    280.52x = 420.84 × 116
  4. Step 4: Simplify right side
    280.52x = 48,817.44
  5. Step 5: Solve for x
    x = 48,817.44/280.52
  6. Step 6: Final answer
    x = 174.02

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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.