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Finding the Fourth Proportional to 280.17, 419.73 and 187.38

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Solution

The fourth proportional to 280.17, 419.73 and 187.38 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 419.73 = 187.38 : x
  2. Step 2: Convert to fraction form
    280.17/419.73 = 187.38/x
  3. Step 3: Cross multiply
    280.17x = 419.73 × 187.38
  4. Step 4: Simplify right side
    280.17x = 78,649.01
  5. Step 5: Solve for x
    x = 78,649.01/280.17
  6. Step 6: Final answer
    x = 280.72

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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.