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Finding the Fourth Proportional to 222.18, 306.53 and 133.64

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Solution

The fourth proportional to 222.18, 306.53 and 133.64 is: 184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.18 : 306.53 = 133.64 : x
  2. Step 2: Convert to fraction form
    222.18/306.53 = 133.64/x
  3. Step 3: Cross multiply
    222.18x = 306.53 × 133.64
  4. Step 4: Simplify right side
    222.18x = 40,962.47
  5. Step 5: Solve for x
    x = 40,962.47/222.18
  6. Step 6: Final answer
    x = 184.37

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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.