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Finding the Fourth Proportional to 264.52, 365.17 and 176.15

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Solution

The fourth proportional to 264.52, 365.17 and 176.15 is: 243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.52 : 365.17 = 176.15 : x
  2. Step 2: Convert to fraction form
    264.52/365.17 = 176.15/x
  3. Step 3: Cross multiply
    264.52x = 365.17 × 176.15
  4. Step 4: Simplify right side
    264.52x = 64,324.26
  5. Step 5: Solve for x
    x = 64,324.26/264.52
  6. Step 6: Final answer
    x = 243.17

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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.