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Finding the Fourth Proportional to 280.77, 420.83 and 126.53

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Solution

The fourth proportional to 280.77, 420.83 and 126.53 is: 189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.77 : 420.83 = 126.53 : x
  2. Step 2: Convert to fraction form
    280.77/420.83 = 126.53/x
  3. Step 3: Cross multiply
    280.77x = 420.83 × 126.53
  4. Step 4: Simplify right side
    280.77x = 53,246.94
  5. Step 5: Solve for x
    x = 53,246.94/280.77
  6. Step 6: Final answer
    x = 189.65

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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.