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Finding the Fourth Proportional to 212.08, 292.71 and 170.62

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Solution

The fourth proportional to 212.08, 292.71 and 170.62 is: 235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.08 : 292.71 = 170.62 : x
  2. Step 2: Convert to fraction form
    212.08/292.71 = 170.62/x
  3. Step 3: Cross multiply
    212.08x = 292.71 × 170.62
  4. Step 4: Simplify right side
    212.08x = 49,942.18
  5. Step 5: Solve for x
    x = 49,942.18/212.08
  6. Step 6: Final answer
    x = 235.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.