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Finding the Fourth Proportional to 203.99, 280.67 and 176.31

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Solution

The fourth proportional to 203.99, 280.67 and 176.31 is: 242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.99 : 280.67 = 176.31 : x
  2. Step 2: Convert to fraction form
    203.99/280.67 = 176.31/x
  3. Step 3: Cross multiply
    203.99x = 280.67 × 176.31
  4. Step 4: Simplify right side
    203.99x = 49,484.05
  5. Step 5: Solve for x
    x = 49,484.05/203.99
  6. Step 6: Final answer
    x = 242.59

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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.