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Finding the Fourth Proportional to 212.07, 292.67 and 138.45

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Solution

The fourth proportional to 212.07, 292.67 and 138.45 is: 191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.07 : 292.67 = 138.45 : x
  2. Step 2: Convert to fraction form
    212.07/292.67 = 138.45/x
  3. Step 3: Cross multiply
    212.07x = 292.67 × 138.45
  4. Step 4: Simplify right side
    212.07x = 40,519.47
  5. Step 5: Solve for x
    x = 40,519.47/212.07
  6. Step 6: Final answer
    x = 191.07

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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.