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Finding the Fourth Proportional to 222.01, 332.51 and 119.14

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Solution

The fourth proportional to 222.01, 332.51 and 119.14 is: 178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.01 : 332.51 = 119.14 : x
  2. Step 2: Convert to fraction form
    222.01/332.51 = 119.14/x
  3. Step 3: Cross multiply
    222.01x = 332.51 × 119.14
  4. Step 4: Simplify right side
    222.01x = 39,613.81
  5. Step 5: Solve for x
    x = 39,613.81/222.01
  6. Step 6: Final answer
    x = 178.43

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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.