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Finding the Fourth Proportional to 222.51, 307.22 and 166.62

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Solution

The fourth proportional to 222.51, 307.22 and 166.62 is: 230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.51 : 307.22 = 166.62 : x
  2. Step 2: Convert to fraction form
    222.51/307.22 = 166.62/x
  3. Step 3: Cross multiply
    222.51x = 307.22 × 166.62
  4. Step 4: Simplify right side
    222.51x = 51,188.16
  5. Step 5: Solve for x
    x = 51,188.16/222.51
  6. Step 6: Final answer
    x = 230.05

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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.