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Finding the Fourth Proportional to 203.40, 303.12 and 202.32

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Solution

The fourth proportional to 203.40, 303.12 and 202.32 is: 301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 303.12 = 202.32 : x
  2. Step 2: Convert to fraction form
    203.40/303.12 = 202.32/x
  3. Step 3: Cross multiply
    203.40x = 303.12 × 202.32
  4. Step 4: Simplify right side
    203.40x = 61,327.24
  5. Step 5: Solve for x
    x = 61,327.24/203.40
  6. Step 6: Final answer
    x = 301.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.