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Finding the Fourth Proportional to 265.11, 366 and 166.89

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Solution

The fourth proportional to 265.11, 366 and 166.89 is: 230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.11 : 366 = 166.89 : x
  2. Step 2: Convert to fraction form
    265.11/366 = 166.89/x
  3. Step 3: Cross multiply
    265.11x = 366 × 166.89
  4. Step 4: Simplify right side
    265.11x = 61,081.74
  5. Step 5: Solve for x
    x = 61,081.74/265.11
  6. Step 6: Final answer
    x = 230.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.