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Finding the Fourth Proportional to 280.25, 419.75 and 135.66

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Solution

The fourth proportional to 280.25, 419.75 and 135.66 is: 203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 419.75 = 135.66 : x
  2. Step 2: Convert to fraction form
    280.25/419.75 = 135.66/x
  3. Step 3: Cross multiply
    280.25x = 419.75 × 135.66
  4. Step 4: Simplify right side
    280.25x = 56,943.62
  5. Step 5: Solve for x
    x = 56,943.62/280.25
  6. Step 6: Final answer
    x = 203.19

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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.