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Finding the Fourth Proportional to 212.28, 292.90 and 145.94

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Solution

The fourth proportional to 212.28, 292.90 and 145.94 is: 201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.28 : 292.90 = 145.94 : x
  2. Step 2: Convert to fraction form
    212.28/292.90 = 145.94/x
  3. Step 3: Cross multiply
    212.28x = 292.90 × 145.94
  4. Step 4: Simplify right side
    212.28x = 42,745.83
  5. Step 5: Solve for x
    x = 42,745.83/212.28
  6. Step 6: Final answer
    x = 201.37

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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.