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Finding the Fourth Proportional to 203.38, 304.83 and 93.76

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Solution

The fourth proportional to 203.38, 304.83 and 93.76 is: 140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.38 : 304.83 = 93.76 : x
  2. Step 2: Convert to fraction form
    203.38/304.83 = 93.76/x
  3. Step 3: Cross multiply
    203.38x = 304.83 × 93.76
  4. Step 4: Simplify right side
    203.38x = 28,580.10
  5. Step 5: Solve for x
    x = 28,580.10/203.38
  6. Step 6: Final answer
    x = 140.53

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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.