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Finding the Fourth Proportional to 222.79, 307.44 and 185.86

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Solution

The fourth proportional to 222.79, 307.44 and 185.86 is: 256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.79 : 307.44 = 185.86 : x
  2. Step 2: Convert to fraction form
    222.79/307.44 = 185.86/x
  3. Step 3: Cross multiply
    222.79x = 307.44 × 185.86
  4. Step 4: Simplify right side
    222.79x = 57,140.80
  5. Step 5: Solve for x
    x = 57,140.80/222.79
  6. Step 6: Final answer
    x = 256.48

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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.