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Finding the Fourth Proportional to 280.24, 420.16 and 87.84

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Solution

The fourth proportional to 280.24, 420.16 and 87.84 is: 131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 420.16 = 87.84 : x
  2. Step 2: Convert to fraction form
    280.24/420.16 = 87.84/x
  3. Step 3: Cross multiply
    280.24x = 420.16 × 87.84
  4. Step 4: Simplify right side
    280.24x = 36,906.85
  5. Step 5: Solve for x
    x = 36,906.85/280.24
  6. Step 6: Final answer
    x = 131.70

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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.