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Finding the Fourth Proportional to 203.10, 304.86 and 202.38

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Solution

The fourth proportional to 203.10, 304.86 and 202.38 is: 303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.10 : 304.86 = 202.38 : x
  2. Step 2: Convert to fraction form
    203.10/304.86 = 202.38/x
  3. Step 3: Cross multiply
    203.10x = 304.86 × 202.38
  4. Step 4: Simplify right side
    203.10x = 61,697.57
  5. Step 5: Solve for x
    x = 61,697.57/203.10
  6. Step 6: Final answer
    x = 303.78

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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.