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Finding the Fourth Proportional to 222.95, 307.46 and 149.24

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Solution

The fourth proportional to 222.95, 307.46 and 149.24 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.95 : 307.46 = 149.24 : x
  2. Step 2: Convert to fraction form
    222.95/307.46 = 149.24/x
  3. Step 3: Cross multiply
    222.95x = 307.46 × 149.24
  4. Step 4: Simplify right side
    222.95x = 45,886.47
  5. Step 5: Solve for x
    x = 45,886.47/222.95
  6. Step 6: Final answer
    x = 205.81

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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.