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Finding the Fourth Proportional to 280.93, 421.40 and 126.83

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Solution

The fourth proportional to 280.93, 421.40 and 126.83 is: 190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.93 : 421.40 = 126.83 : x
  2. Step 2: Convert to fraction form
    280.93/421.40 = 126.83/x
  3. Step 3: Cross multiply
    280.93x = 421.40 × 126.83
  4. Step 4: Simplify right side
    280.93x = 53,445.84
  5. Step 5: Solve for x
    x = 53,445.84/280.93
  6. Step 6: Final answer
    x = 190.24

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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.