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Finding the Fourth Proportional to 211.46, 315.66 and 182.76

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Solution

The fourth proportional to 211.46, 315.66 and 182.76 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 315.66 = 182.76 : x
  2. Step 2: Convert to fraction form
    211.46/315.66 = 182.76/x
  3. Step 3: Cross multiply
    211.46x = 315.66 × 182.76
  4. Step 4: Simplify right side
    211.46x = 57,688.75
  5. Step 5: Solve for x
    x = 57,688.75/211.46
  6. Step 6: Final answer
    x = 272.81

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Why These Related Problems?

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