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Finding the Fourth Proportional to 212.19, 316.88 and 184.83

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Solution

The fourth proportional to 212.19, 316.88 and 184.83 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.19 : 316.88 = 184.83 : x
  2. Step 2: Convert to fraction form
    212.19/316.88 = 184.83/x
  3. Step 3: Cross multiply
    212.19x = 316.88 × 184.83
  4. Step 4: Simplify right side
    212.19x = 58,568.01
  5. Step 5: Solve for x
    x = 58,568.01/212.19
  6. Step 6: Final answer
    x = 276.02

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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.