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Finding the Fourth Proportional to 212.04, 292.23 and 146.43

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Solution

The fourth proportional to 212.04, 292.23 and 146.43 is: 201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 292.23 = 146.43 : x
  2. Step 2: Convert to fraction form
    212.04/292.23 = 146.43/x
  3. Step 3: Cross multiply
    212.04x = 292.23 × 146.43
  4. Step 4: Simplify right side
    212.04x = 42,791.24
  5. Step 5: Solve for x
    x = 42,791.24/212.04
  6. Step 6: Final answer
    x = 201.81

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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.