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Finding the Fourth Proportional to 280.31, 419.81 and 164.52

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Solution

The fourth proportional to 280.31, 419.81 and 164.52 is: 246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.31 : 419.81 = 164.52 : x
  2. Step 2: Convert to fraction form
    280.31/419.81 = 164.52/x
  3. Step 3: Cross multiply
    280.31x = 419.81 × 164.52
  4. Step 4: Simplify right side
    280.31x = 69,066.32
  5. Step 5: Solve for x
    x = 69,066.32/280.31
  6. Step 6: Final answer
    x = 246.40

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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.