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Finding the Fourth Proportional to 264.55, 364.92 and 166.13

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Solution

The fourth proportional to 264.55, 364.92 and 166.13 is: 229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.55 : 364.92 = 166.13 : x
  2. Step 2: Convert to fraction form
    264.55/364.92 = 166.13/x
  3. Step 3: Cross multiply
    264.55x = 364.92 × 166.13
  4. Step 4: Simplify right side
    264.55x = 60,624.16
  5. Step 5: Solve for x
    x = 60,624.16/264.55
  6. Step 6: Final answer
    x = 229.16

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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.