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Finding the Fourth Proportional to 212.93, 294.11 and 160.87

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Solution

The fourth proportional to 212.93, 294.11 and 160.87 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.93 : 294.11 = 160.87 : x
  2. Step 2: Convert to fraction form
    212.93/294.11 = 160.87/x
  3. Step 3: Cross multiply
    212.93x = 294.11 × 160.87
  4. Step 4: Simplify right side
    212.93x = 47,314.00
  5. Step 5: Solve for x
    x = 47,314.00/212.93
  6. Step 6: Final answer
    x = 222.21

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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.