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Finding the Fourth Proportional to 212.94, 293.67 and 157.82

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Solution

The fourth proportional to 212.94, 293.67 and 157.82 is: 217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 293.67 = 157.82 : x
  2. Step 2: Convert to fraction form
    212.94/293.67 = 157.82/x
  3. Step 3: Cross multiply
    212.94x = 293.67 × 157.82
  4. Step 4: Simplify right side
    212.94x = 46,345.53
  5. Step 5: Solve for x
    x = 46,345.53/212.94
  6. Step 6: Final answer
    x = 217.65

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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.