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Finding the Fourth Proportional to 135.19, 201.76 and 119.02

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Solution

The fourth proportional to 135.19, 201.76 and 119.02 is: 177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.19 : 201.76 = 119.02 : x
  2. Step 2: Convert to fraction form
    135.19/201.76 = 119.02/x
  3. Step 3: Cross multiply
    135.19x = 201.76 × 119.02
  4. Step 4: Simplify right side
    135.19x = 24,013.48
  5. Step 5: Solve for x
    x = 24,013.48/135.19
  6. Step 6: Final answer
    x = 177.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.