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Finding the Fourth Proportional to 280.32, 419.67 and 188.70

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Solution

The fourth proportional to 280.32, 419.67 and 188.70 is: 282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 419.67 = 188.70 : x
  2. Step 2: Convert to fraction form
    280.32/419.67 = 188.70/x
  3. Step 3: Cross multiply
    280.32x = 419.67 × 188.70
  4. Step 4: Simplify right side
    280.32x = 79,191.73
  5. Step 5: Solve for x
    x = 79,191.73/280.32
  6. Step 6: Final answer
    x = 282.50

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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.