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Finding the Fourth Proportional to 265.02, 365.19 and 171.66

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Solution

The fourth proportional to 265.02, 365.19 and 171.66 is: 236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.02 : 365.19 = 171.66 : x
  2. Step 2: Convert to fraction form
    265.02/365.19 = 171.66/x
  3. Step 3: Cross multiply
    265.02x = 365.19 × 171.66
  4. Step 4: Simplify right side
    265.02x = 62,688.52
  5. Step 5: Solve for x
    x = 62,688.52/265.02
  6. Step 6: Final answer
    x = 236.54

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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.