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Finding the Fourth Proportional to 203.42, 305.13 and 49.35

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Solution

The fourth proportional to 203.42, 305.13 and 49.35 is: 74.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.42 : 305.13 = 49.35 : x
  2. Step 2: Convert to fraction form
    203.42/305.13 = 49.35/x
  3. Step 3: Cross multiply
    203.42x = 305.13 × 49.35
  4. Step 4: Simplify right side
    203.42x = 15,057.02
  5. Step 5: Solve for x
    x = 15,057.02/203.42
  6. Step 6: Final answer
    x = 74.02

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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.