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Finding the Fourth Proportional to 280.91, 421.44 and 88.53

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Solution

The fourth proportional to 280.91, 421.44 and 88.53 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.91 : 421.44 = 88.53 : x
  2. Step 2: Convert to fraction form
    280.91/421.44 = 88.53/x
  3. Step 3: Cross multiply
    280.91x = 421.44 × 88.53
  4. Step 4: Simplify right side
    280.91x = 37,309.64
  5. Step 5: Solve for x
    x = 37,309.64/280.91
  6. Step 6: Final answer
    x = 132.82

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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.