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Finding the Fourth Proportional to 222.23, 306.62 and 178.01

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Solution

The fourth proportional to 222.23, 306.62 and 178.01 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.23 : 306.62 = 178.01 : x
  2. Step 2: Convert to fraction form
    222.23/306.62 = 178.01/x
  3. Step 3: Cross multiply
    222.23x = 306.62 × 178.01
  4. Step 4: Simplify right side
    222.23x = 54,580.34
  5. Step 5: Solve for x
    x = 54,580.34/222.23
  6. Step 6: Final answer
    x = 245.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.