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Finding the Fourth Proportional to 203.10, 304.49 and 116.30

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Solution

The fourth proportional to 203.10, 304.49 and 116.30 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.10 : 304.49 = 116.30 : x
  2. Step 2: Convert to fraction form
    203.10/304.49 = 116.30/x
  3. Step 3: Cross multiply
    203.10x = 304.49 × 116.30
  4. Step 4: Simplify right side
    203.10x = 35,410.08
  5. Step 5: Solve for x
    x = 35,410.08/203.10
  6. Step 6: Final answer
    x = 174.35

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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.