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Finding the Fourth Proportional to 264.56, 365.06 and 166.14

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Solution

The fourth proportional to 264.56, 365.06 and 166.14 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.56 : 365.06 = 166.14 : x
  2. Step 2: Convert to fraction form
    264.56/365.06 = 166.14/x
  3. Step 3: Cross multiply
    264.56x = 365.06 × 166.14
  4. Step 4: Simplify right side
    264.56x = 60,650.24
  5. Step 5: Solve for x
    x = 60,650.24/264.56
  6. Step 6: Final answer
    x = 229.25

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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.