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Finding the Fourth Proportional to 264.32, 364.66 and 166.14

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Solution

The fourth proportional to 264.32, 364.66 and 166.14 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.32 : 364.66 = 166.14 : x
  2. Step 2: Convert to fraction form
    264.32/364.66 = 166.14/x
  3. Step 3: Cross multiply
    264.32x = 364.66 × 166.14
  4. Step 4: Simplify right side
    264.32x = 60,584.61
  5. Step 5: Solve for x
    x = 60,584.61/264.32
  6. Step 6: Final answer
    x = 229.21

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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.