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Finding the Fourth Proportional to 280.32, 420.16 and 199.04

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Solution

The fourth proportional to 280.32, 420.16 and 199.04 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 420.16 = 199.04 : x
  2. Step 2: Convert to fraction form
    280.32/420.16 = 199.04/x
  3. Step 3: Cross multiply
    280.32x = 420.16 × 199.04
  4. Step 4: Simplify right side
    280.32x = 83,628.65
  5. Step 5: Solve for x
    x = 83,628.65/280.32
  6. Step 6: Final answer
    x = 298.33

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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.