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Finding the Fourth Proportional to 280.98, 420.78 and 143.84

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Solution

The fourth proportional to 280.98, 420.78 and 143.84 is: 215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 420.78 = 143.84 : x
  2. Step 2: Convert to fraction form
    280.98/420.78 = 143.84/x
  3. Step 3: Cross multiply
    280.98x = 420.78 × 143.84
  4. Step 4: Simplify right side
    280.98x = 60,525.00
  5. Step 5: Solve for x
    x = 60,525.00/280.98
  6. Step 6: Final answer
    x = 215.41

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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.