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Finding the Fourth Proportional to 222.64, 307.12 and 148.96

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Solution

The fourth proportional to 222.64, 307.12 and 148.96 is: 205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 307.12 = 148.96 : x
  2. Step 2: Convert to fraction form
    222.64/307.12 = 148.96/x
  3. Step 3: Cross multiply
    222.64x = 307.12 × 148.96
  4. Step 4: Simplify right side
    222.64x = 45,748.60
  5. Step 5: Solve for x
    x = 45,748.60/222.64
  6. Step 6: Final answer
    x = 205.48

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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.