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Finding the Fourth Proportional to 222.63, 333.64 and 114.19

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Solution

The fourth proportional to 222.63, 333.64 and 114.19 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.63 : 333.64 = 114.19 : x
  2. Step 2: Convert to fraction form
    222.63/333.64 = 114.19/x
  3. Step 3: Cross multiply
    222.63x = 333.64 × 114.19
  4. Step 4: Simplify right side
    222.63x = 38,098.35
  5. Step 5: Solve for x
    x = 38,098.35/222.63
  6. Step 6: Final answer
    x = 171.13

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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.