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Finding the Fourth Proportional to 280.67, 421.02 and 95.51

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Solution

The fourth proportional to 280.67, 421.02 and 95.51 is: 143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.67 : 421.02 = 95.51 : x
  2. Step 2: Convert to fraction form
    280.67/421.02 = 95.51/x
  3. Step 3: Cross multiply
    280.67x = 421.02 × 95.51
  4. Step 4: Simplify right side
    280.67x = 40,212.57
  5. Step 5: Solve for x
    x = 40,212.57/280.67
  6. Step 6: Final answer
    x = 143.28

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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.