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Finding the Fourth Proportional to 212.14, 292.33 and 170.63

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Solution

The fourth proportional to 212.14, 292.33 and 170.63 is: 235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.14 : 292.33 = 170.63 : x
  2. Step 2: Convert to fraction form
    212.14/292.33 = 170.63/x
  3. Step 3: Cross multiply
    212.14x = 292.33 × 170.63
  4. Step 4: Simplify right side
    212.14x = 49,880.27
  5. Step 5: Solve for x
    x = 49,880.27/212.14
  6. Step 6: Final answer
    x = 235.13

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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.