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Finding the Fourth Proportional to 222.83, 335.76 and 183.14

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Solution

The fourth proportional to 222.83, 335.76 and 183.14 is: 275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.83 : 335.76 = 183.14 : x
  2. Step 2: Convert to fraction form
    222.83/335.76 = 183.14/x
  3. Step 3: Cross multiply
    222.83x = 335.76 × 183.14
  4. Step 4: Simplify right side
    222.83x = 61,491.53
  5. Step 5: Solve for x
    x = 61,491.53/222.83
  6. Step 6: Final answer
    x = 275.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.