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Finding the Fourth Proportional to 154.49, 214.48 and 150.04

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Solution

The fourth proportional to 154.49, 214.48 and 150.04 is: 208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.49 : 214.48 = 150.04 : x
  2. Step 2: Convert to fraction form
    154.49/214.48 = 150.04/x
  3. Step 3: Cross multiply
    154.49x = 214.48 × 150.04
  4. Step 4: Simplify right side
    154.49x = 32,180.58
  5. Step 5: Solve for x
    x = 32,180.58/154.49
  6. Step 6: Final answer
    x = 208.30

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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.