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Finding the Fourth Proportional to 265.08, 365.76 and 166.78

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Solution

The fourth proportional to 265.08, 365.76 and 166.78 is: 230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.08 : 365.76 = 166.78 : x
  2. Step 2: Convert to fraction form
    265.08/365.76 = 166.78/x
  3. Step 3: Cross multiply
    265.08x = 365.76 × 166.78
  4. Step 4: Simplify right side
    265.08x = 61,001.45
  5. Step 5: Solve for x
    x = 61,001.45/265.08
  6. Step 6: Final answer
    x = 230.12

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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.