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Finding the Fourth Proportional to 212.14, 292.37 and 153.82

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Solution

The fourth proportional to 212.14, 292.37 and 153.82 is: 211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.14 : 292.37 = 153.82 : x
  2. Step 2: Convert to fraction form
    212.14/292.37 = 153.82/x
  3. Step 3: Cross multiply
    212.14x = 292.37 × 153.82
  4. Step 4: Simplify right side
    212.14x = 44,972.35
  5. Step 5: Solve for x
    x = 44,972.35/212.14
  6. Step 6: Final answer
    x = 211.99

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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.