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Finding the Fourth Proportional to 212.16, 292.92 and 165.98

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Solution

The fourth proportional to 212.16, 292.92 and 165.98 is: 229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.16 : 292.92 = 165.98 : x
  2. Step 2: Convert to fraction form
    212.16/292.92 = 165.98/x
  3. Step 3: Cross multiply
    212.16x = 292.92 × 165.98
  4. Step 4: Simplify right side
    212.16x = 48,618.86
  5. Step 5: Solve for x
    x = 48,618.86/212.16
  6. Step 6: Final answer
    x = 229.16

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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.