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Finding the Fourth Proportional to 203.81, 305.91 and 183.38

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Solution

The fourth proportional to 203.81, 305.91 and 183.38 is: 275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.81 : 305.91 = 183.38 : x
  2. Step 2: Convert to fraction form
    203.81/305.91 = 183.38/x
  3. Step 3: Cross multiply
    203.81x = 305.91 × 183.38
  4. Step 4: Simplify right side
    203.81x = 56,096.25
  5. Step 5: Solve for x
    x = 56,096.25/203.81
  6. Step 6: Final answer
    x = 275.24

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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.