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Finding the Fourth Proportional to 212.46, 316.69 and 189.20

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Solution

The fourth proportional to 212.46, 316.69 and 189.20 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.46 : 316.69 = 189.20 : x
  2. Step 2: Convert to fraction form
    212.46/316.69 = 189.20/x
  3. Step 3: Cross multiply
    212.46x = 316.69 × 189.20
  4. Step 4: Simplify right side
    212.46x = 59,916.01
  5. Step 5: Solve for x
    x = 59,916.01/212.46
  6. Step 6: Final answer
    x = 282.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.