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Finding the Fourth Proportional to 265.65, 366.56 and 160.75

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Solution

The fourth proportional to 265.65, 366.56 and 160.75 is: 221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 366.56 = 160.75 : x
  2. Step 2: Convert to fraction form
    265.65/366.56 = 160.75/x
  3. Step 3: Cross multiply
    265.65x = 366.56 × 160.75
  4. Step 4: Simplify right side
    265.65x = 58,924.78
  5. Step 5: Solve for x
    x = 58,924.78/265.65
  6. Step 6: Final answer
    x = 221.82

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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.