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Finding the Fourth Proportional to 155.30, 214.07 and 149.22

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Solution

The fourth proportional to 155.30, 214.07 and 149.22 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.30 : 214.07 = 149.22 : x
  2. Step 2: Convert to fraction form
    155.30/214.07 = 149.22/x
  3. Step 3: Cross multiply
    155.30x = 214.07 × 149.22
  4. Step 4: Simplify right side
    155.30x = 31,942.78
  5. Step 5: Solve for x
    x = 31,942.78/155.30
  6. Step 6: Final answer
    x = 205.69

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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.