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Finding the Fourth Proportional to 222.52, 307.17 and 148.81

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Solution

The fourth proportional to 222.52, 307.17 and 148.81 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.52 : 307.17 = 148.81 : x
  2. Step 2: Convert to fraction form
    222.52/307.17 = 148.81/x
  3. Step 3: Cross multiply
    222.52x = 307.17 × 148.81
  4. Step 4: Simplify right side
    222.52x = 45,709.22
  5. Step 5: Solve for x
    x = 45,709.22/222.52
  6. Step 6: Final answer
    x = 205.42

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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.