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Finding the Fourth Proportional to 203.68, 305.16 and 118

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Solution

The fourth proportional to 203.68, 305.16 and 118 is: 176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 305.16 = 118 : x
  2. Step 2: Convert to fraction form
    203.68/305.16 = 118/x
  3. Step 3: Cross multiply
    203.68x = 305.16 × 118
  4. Step 4: Simplify right side
    203.68x = 36,008.88
  5. Step 5: Solve for x
    x = 36,008.88/203.68
  6. Step 6: Final answer
    x = 176.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.