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Finding the Fourth Proportional to 203.84, 280.32 and 177.92

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Solution

The fourth proportional to 203.84, 280.32 and 177.92 is: 244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.84 : 280.32 = 177.92 : x
  2. Step 2: Convert to fraction form
    203.84/280.32 = 177.92/x
  3. Step 3: Cross multiply
    203.84x = 280.32 × 177.92
  4. Step 4: Simplify right side
    203.84x = 49,874.53
  5. Step 5: Solve for x
    x = 49,874.53/203.84
  6. Step 6: Final answer
    x = 244.67

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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.