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Finding the Fourth Proportional to 135.22, 203.62 and 118.30

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Solution

The fourth proportional to 135.22, 203.62 and 118.30 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.22 : 203.62 = 118.30 : x
  2. Step 2: Convert to fraction form
    135.22/203.62 = 118.30/x
  3. Step 3: Cross multiply
    135.22x = 203.62 × 118.30
  4. Step 4: Simplify right side
    135.22x = 24,086.64
  5. Step 5: Solve for x
    x = 24,086.64/135.22
  6. Step 6: Final answer
    x = 178.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.