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Finding the Fourth Proportional to 280.19, 419.81 and 187.47

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Solution

The fourth proportional to 280.19, 419.81 and 187.47 is: 280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.19 : 419.81 = 187.47 : x
  2. Step 2: Convert to fraction form
    280.19/419.81 = 187.47/x
  3. Step 3: Cross multiply
    280.19x = 419.81 × 187.47
  4. Step 4: Simplify right side
    280.19x = 78,700.84
  5. Step 5: Solve for x
    x = 78,700.84/280.19
  6. Step 6: Final answer
    x = 280.88

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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.