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Finding the Fourth Proportional to 280.16, 419.89 and 199.02

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Solution

The fourth proportional to 280.16, 419.89 and 199.02 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 419.89 = 199.02 : x
  2. Step 2: Convert to fraction form
    280.16/419.89 = 199.02/x
  3. Step 3: Cross multiply
    280.16x = 419.89 × 199.02
  4. Step 4: Simplify right side
    280.16x = 83,566.51
  5. Step 5: Solve for x
    x = 83,566.51/280.16
  6. Step 6: Final answer
    x = 298.28

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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.