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Finding the Fourth Proportional to 222.64, 334.14 and 169

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Solution

The fourth proportional to 222.64, 334.14 and 169 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 334.14 = 169 : x
  2. Step 2: Convert to fraction form
    222.64/334.14 = 169/x
  3. Step 3: Cross multiply
    222.64x = 334.14 × 169
  4. Step 4: Simplify right side
    222.64x = 56,469.66
  5. Step 5: Solve for x
    x = 56,469.66/222.64
  6. Step 6: Final answer
    x = 253.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.