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Finding the Fourth Proportional to 212.14, 292.51 and 142.08

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Solution

The fourth proportional to 212.14, 292.51 and 142.08 is: 195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.14 : 292.51 = 142.08 : x
  2. Step 2: Convert to fraction form
    212.14/292.51 = 142.08/x
  3. Step 3: Cross multiply
    212.14x = 292.51 × 142.08
  4. Step 4: Simplify right side
    212.14x = 41,559.72
  5. Step 5: Solve for x
    x = 41,559.72/212.14
  6. Step 6: Final answer
    x = 195.90

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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.