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Finding the Fourth Proportional to 154.89, 230.99 and 135.45

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Solution

The fourth proportional to 154.89, 230.99 and 135.45 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.89 : 230.99 = 135.45 : x
  2. Step 2: Convert to fraction form
    154.89/230.99 = 135.45/x
  3. Step 3: Cross multiply
    154.89x = 230.99 × 135.45
  4. Step 4: Simplify right side
    154.89x = 31,286.92
  5. Step 5: Solve for x
    x = 31,286.92/154.89
  6. Step 6: Final answer
    x = 201.99

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Why These Related Problems?

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