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Finding the Fourth Proportional to 212.18, 292.77 and 129.32

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Solution

The fourth proportional to 212.18, 292.77 and 129.32 is: 178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.18 : 292.77 = 129.32 : x
  2. Step 2: Convert to fraction form
    212.18/292.77 = 129.32/x
  3. Step 3: Cross multiply
    212.18x = 292.77 × 129.32
  4. Step 4: Simplify right side
    212.18x = 37,861.02
  5. Step 5: Solve for x
    x = 37,861.02/212.18
  6. Step 6: Final answer
    x = 178.44

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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.