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Finding the Fourth Proportional to 154.74, 214.83 and 150.29

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Solution

The fourth proportional to 154.74, 214.83 and 150.29 is: 208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.74 : 214.83 = 150.29 : x
  2. Step 2: Convert to fraction form
    154.74/214.83 = 150.29/x
  3. Step 3: Cross multiply
    154.74x = 214.83 × 150.29
  4. Step 4: Simplify right side
    154.74x = 32,285.73
  5. Step 5: Solve for x
    x = 32,285.73/154.74
  6. Step 6: Final answer
    x = 208.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.