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Finding the Fourth Proportional to 203.40, 305.24 and 202.66

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Solution

The fourth proportional to 203.40, 305.24 and 202.66 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 305.24 = 202.66 : x
  2. Step 2: Convert to fraction form
    203.40/305.24 = 202.66/x
  3. Step 3: Cross multiply
    203.40x = 305.24 × 202.66
  4. Step 4: Simplify right side
    203.40x = 61,858.16
  5. Step 5: Solve for x
    x = 61,858.16/203.40
  6. Step 6: Final answer
    x = 304.12

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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.