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Finding the Fourth Proportional to 264.51, 364.89 and 166.08

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Solution

The fourth proportional to 264.51, 364.89 and 166.08 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.51 : 364.89 = 166.08 : x
  2. Step 2: Convert to fraction form
    264.51/364.89 = 166.08/x
  3. Step 3: Cross multiply
    264.51x = 364.89 × 166.08
  4. Step 4: Simplify right side
    264.51x = 60,600.93
  5. Step 5: Solve for x
    x = 60,600.93/264.51
  6. Step 6: Final answer
    x = 229.11

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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.