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Finding the Fourth Proportional to 222.66, 334.08 and 120.06

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Solution

The fourth proportional to 222.66, 334.08 and 120.06 is: 180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 334.08 = 120.06 : x
  2. Step 2: Convert to fraction form
    222.66/334.08 = 120.06/x
  3. Step 3: Cross multiply
    222.66x = 334.08 × 120.06
  4. Step 4: Simplify right side
    222.66x = 40,109.64
  5. Step 5: Solve for x
    x = 40,109.64/222.66
  6. Step 6: Final answer
    x = 180.14

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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.