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Finding the Fourth Proportional to 154.62, 230.87 and 135.95

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Solution

The fourth proportional to 154.62, 230.87 and 135.95 is: 202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.62 : 230.87 = 135.95 : x
  2. Step 2: Convert to fraction form
    154.62/230.87 = 135.95/x
  3. Step 3: Cross multiply
    154.62x = 230.87 × 135.95
  4. Step 4: Simplify right side
    154.62x = 31,384.94
  5. Step 5: Solve for x
    x = 31,384.94/154.62
  6. Step 6: Final answer
    x = 202.98

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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.