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Finding the Fourth Proportional to 212.05, 292.67 and 157.07

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Solution

The fourth proportional to 212.05, 292.67 and 157.07 is: 216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.05 : 292.67 = 157.07 : x
  2. Step 2: Convert to fraction form
    212.05/292.67 = 157.07/x
  3. Step 3: Cross multiply
    212.05x = 292.67 × 157.07
  4. Step 4: Simplify right side
    212.05x = 45,969.68
  5. Step 5: Solve for x
    x = 45,969.68/212.05
  6. Step 6: Final answer
    x = 216.79

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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.