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Finding the Fourth Proportional to 154.10, 214.03 and 149.78

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Solution

The fourth proportional to 154.10, 214.03 and 149.78 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.10 : 214.03 = 149.78 : x
  2. Step 2: Convert to fraction form
    154.10/214.03 = 149.78/x
  3. Step 3: Cross multiply
    154.10x = 214.03 × 149.78
  4. Step 4: Simplify right side
    154.10x = 32,056.34
  5. Step 5: Solve for x
    x = 32,056.34/154.10
  6. Step 6: Final answer
    x = 208.03

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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.