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Finding the Fourth Proportional to 264.57, 365.23 and 176.20

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Solution

The fourth proportional to 264.57, 365.23 and 176.20 is: 243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.57 : 365.23 = 176.20 : x
  2. Step 2: Convert to fraction form
    264.57/365.23 = 176.20/x
  3. Step 3: Cross multiply
    264.57x = 365.23 × 176.20
  4. Step 4: Simplify right side
    264.57x = 64,351.70
  5. Step 5: Solve for x
    x = 64,351.70/264.57
  6. Step 6: Final answer
    x = 243.24

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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.