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Finding the Fourth Proportional to 280.53, 386.96 and 221.50

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Solution

The fourth proportional to 280.53, 386.96 and 221.50 is: 305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 386.96 = 221.50 : x
  2. Step 2: Convert to fraction form
    280.53/386.96 = 221.50/x
  3. Step 3: Cross multiply
    280.53x = 386.96 × 221.50
  4. Step 4: Simplify right side
    280.53x = 85,709.57
  5. Step 5: Solve for x
    x = 85,709.57/280.53
  6. Step 6: Final answer
    x = 305.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.