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Finding the Fourth Proportional to 203.11, 304.84 and 116.53

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Solution

The fourth proportional to 203.11, 304.84 and 116.53 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.11 : 304.84 = 116.53 : x
  2. Step 2: Convert to fraction form
    203.11/304.84 = 116.53/x
  3. Step 3: Cross multiply
    203.11x = 304.84 × 116.53
  4. Step 4: Simplify right side
    203.11x = 35,521.48
  5. Step 5: Solve for x
    x = 35,521.48/203.11
  6. Step 6: Final answer
    x = 174.89

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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.