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Finding the Fourth Proportional to 265.87, 366.76 and 167.59

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Solution

The fourth proportional to 265.87, 366.76 and 167.59 is: 231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.87 : 366.76 = 167.59 : x
  2. Step 2: Convert to fraction form
    265.87/366.76 = 167.59/x
  3. Step 3: Cross multiply
    265.87x = 366.76 × 167.59
  4. Step 4: Simplify right side
    265.87x = 61,465.31
  5. Step 5: Solve for x
    x = 61,465.31/265.87
  6. Step 6: Final answer
    x = 231.19

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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.