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Finding the Fourth Proportional to 222.66, 332.10 and 181.89

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Solution

The fourth proportional to 222.66, 332.10 and 181.89 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 332.10 = 181.89 : x
  2. Step 2: Convert to fraction form
    222.66/332.10 = 181.89/x
  3. Step 3: Cross multiply
    222.66x = 332.10 × 181.89
  4. Step 4: Simplify right side
    222.66x = 60,405.67
  5. Step 5: Solve for x
    x = 60,405.67/222.66
  6. Step 6: Final answer
    x = 271.29

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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.