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Finding the Fourth Proportional to 280.96, 420.23 and 203.04

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Solution

The fourth proportional to 280.96, 420.23 and 203.04 is: 303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 420.23 = 203.04 : x
  2. Step 2: Convert to fraction form
    280.96/420.23 = 203.04/x
  3. Step 3: Cross multiply
    280.96x = 420.23 × 203.04
  4. Step 4: Simplify right side
    280.96x = 85,323.50
  5. Step 5: Solve for x
    x = 85,323.50/280.96
  6. Step 6: Final answer
    x = 303.69

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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.