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Finding the Fourth Proportional to 222.12, 306.24 and 148.32

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Solution

The fourth proportional to 222.12, 306.24 and 148.32 is: 204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 306.24 = 148.32 : x
  2. Step 2: Convert to fraction form
    222.12/306.24 = 148.32/x
  3. Step 3: Cross multiply
    222.12x = 306.24 × 148.32
  4. Step 4: Simplify right side
    222.12x = 45,421.52
  5. Step 5: Solve for x
    x = 45,421.52/222.12
  6. Step 6: Final answer
    x = 204.49

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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.