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Finding the Fourth Proportional to 203.62, 305.43 and 49.55

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Solution

The fourth proportional to 203.62, 305.43 and 49.55 is: 74.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.62 : 305.43 = 49.55 : x
  2. Step 2: Convert to fraction form
    203.62/305.43 = 49.55/x
  3. Step 3: Cross multiply
    203.62x = 305.43 × 49.55
  4. Step 4: Simplify right side
    203.62x = 15,133.77
  5. Step 5: Solve for x
    x = 15,133.77/203.62
  6. Step 6: Final answer
    x = 74.32

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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.