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Finding the Fourth Proportional to 222.24, 306.57 and 155.75

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Solution

The fourth proportional to 222.24, 306.57 and 155.75 is: 214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 306.57 = 155.75 : x
  2. Step 2: Convert to fraction form
    222.24/306.57 = 155.75/x
  3. Step 3: Cross multiply
    222.24x = 306.57 × 155.75
  4. Step 4: Simplify right side
    222.24x = 47,748.28
  5. Step 5: Solve for x
    x = 47,748.28/222.24
  6. Step 6: Final answer
    x = 214.85

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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.