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Finding the Fourth Proportional to 203.38, 305.14 and 116.66

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Solution

The fourth proportional to 203.38, 305.14 and 116.66 is: 175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.38 : 305.14 = 116.66 : x
  2. Step 2: Convert to fraction form
    203.38/305.14 = 116.66/x
  3. Step 3: Cross multiply
    203.38x = 305.14 × 116.66
  4. Step 4: Simplify right side
    203.38x = 35,597.63
  5. Step 5: Solve for x
    x = 35,597.63/203.38
  6. Step 6: Final answer
    x = 175.03

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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.