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Finding the Fourth Proportional to 212.32, 292.82 and 138.51

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Solution

The fourth proportional to 212.32, 292.82 and 138.51 is: 191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 292.82 = 138.51 : x
  2. Step 2: Convert to fraction form
    212.32/292.82 = 138.51/x
  3. Step 3: Cross multiply
    212.32x = 292.82 × 138.51
  4. Step 4: Simplify right side
    212.32x = 40,557.81
  5. Step 5: Solve for x
    x = 40,557.81/212.32
  6. Step 6: Final answer
    x = 191.02

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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.