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Finding the Fourth Proportional to 280.08, 419.97 and 135.66

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Solution

The fourth proportional to 280.08, 419.97 and 135.66 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 419.97 = 135.66 : x
  2. Step 2: Convert to fraction form
    280.08/419.97 = 135.66/x
  3. Step 3: Cross multiply
    280.08x = 419.97 × 135.66
  4. Step 4: Simplify right side
    280.08x = 56,973.13
  5. Step 5: Solve for x
    x = 56,973.13/280.08
  6. Step 6: Final answer
    x = 203.42

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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.