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Finding the Fourth Proportional to 264.31, 364.85 and 166.07

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Solution

The fourth proportional to 264.31, 364.85 and 166.07 is: 229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.31 : 364.85 = 166.07 : x
  2. Step 2: Convert to fraction form
    264.31/364.85 = 166.07/x
  3. Step 3: Cross multiply
    264.31x = 364.85 × 166.07
  4. Step 4: Simplify right side
    264.31x = 60,590.64
  5. Step 5: Solve for x
    x = 60,590.64/264.31
  6. Step 6: Final answer
    x = 229.24

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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.