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Finding the Fourth Proportional to 213.17, 294.08 and 168.93

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Solution

The fourth proportional to 213.17, 294.08 and 168.93 is: 233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.17 : 294.08 = 168.93 : x
  2. Step 2: Convert to fraction form
    213.17/294.08 = 168.93/x
  3. Step 3: Cross multiply
    213.17x = 294.08 × 168.93
  4. Step 4: Simplify right side
    213.17x = 49,679.36
  5. Step 5: Solve for x
    x = 49,679.36/213.17
  6. Step 6: Final answer
    x = 233.05

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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.