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Finding the Fourth Proportional to 212.02, 292.25 and 149.75

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Solution

The fourth proportional to 212.02, 292.25 and 149.75 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 292.25 = 149.75 : x
  2. Step 2: Convert to fraction form
    212.02/292.25 = 149.75/x
  3. Step 3: Cross multiply
    212.02x = 292.25 × 149.75
  4. Step 4: Simplify right side
    212.02x = 43,762.23
  5. Step 5: Solve for x
    x = 43,762.23/212.02
  6. Step 6: Final answer
    x = 206.41

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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.