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Finding the Fourth Proportional to 280.93, 421.56 and 178.07

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Solution

The fourth proportional to 280.93, 421.56 and 178.07 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.93 : 421.56 = 178.07 : x
  2. Step 2: Convert to fraction form
    280.93/421.56 = 178.07/x
  3. Step 3: Cross multiply
    280.93x = 421.56 × 178.07
  4. Step 4: Simplify right side
    280.93x = 75,067.19
  5. Step 5: Solve for x
    x = 75,067.19/280.93
  6. Step 6: Final answer
    x = 267.21

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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.