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Finding the Fourth Proportional to 280.53, 420.51 and 143.49

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Solution

The fourth proportional to 280.53, 420.51 and 143.49 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 420.51 = 143.49 : x
  2. Step 2: Convert to fraction form
    280.53/420.51 = 143.49/x
  3. Step 3: Cross multiply
    280.53x = 420.51 × 143.49
  4. Step 4: Simplify right side
    280.53x = 60,338.98
  5. Step 5: Solve for x
    x = 60,338.98/280.53
  6. Step 6: Final answer
    x = 215.09

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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.