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Finding the Fourth Proportional to 212.02, 292.41 and 146.41

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Solution

The fourth proportional to 212.02, 292.41 and 146.41 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 292.41 = 146.41 : x
  2. Step 2: Convert to fraction form
    212.02/292.41 = 146.41/x
  3. Step 3: Cross multiply
    212.02x = 292.41 × 146.41
  4. Step 4: Simplify right side
    212.02x = 42,811.02
  5. Step 5: Solve for x
    x = 42,811.02/212.02
  6. Step 6: Final answer
    x = 201.92

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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.