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Finding the Fourth Proportional to 222.50, 306.94 and 157.04

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Solution

The fourth proportional to 222.50, 306.94 and 157.04 is: 216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 306.94 = 157.04 : x
  2. Step 2: Convert to fraction form
    222.50/306.94 = 157.04/x
  3. Step 3: Cross multiply
    222.50x = 306.94 × 157.04
  4. Step 4: Simplify right side
    222.50x = 48,201.86
  5. Step 5: Solve for x
    x = 48,201.86/222.50
  6. Step 6: Final answer
    x = 216.64

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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.