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Finding the Fourth Proportional to 154.05, 212.27 and 150.15

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Solution

The fourth proportional to 154.05, 212.27 and 150.15 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.05 : 212.27 = 150.15 : x
  2. Step 2: Convert to fraction form
    154.05/212.27 = 150.15/x
  3. Step 3: Cross multiply
    154.05x = 212.27 × 150.15
  4. Step 4: Simplify right side
    154.05x = 31,873.23
  5. Step 5: Solve for x
    x = 31,873.23/154.05
  6. Step 6: Final answer
    x = 206.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.