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Finding the Fourth Proportional to 176.72, 265.24 and 85.49

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Solution

The fourth proportional to 176.72, 265.24 and 85.49 is: 128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.72 : 265.24 = 85.49 : x
  2. Step 2: Convert to fraction form
    176.72/265.24 = 85.49/x
  3. Step 3: Cross multiply
    176.72x = 265.24 × 85.49
  4. Step 4: Simplify right side
    176.72x = 22,674.04
  5. Step 5: Solve for x
    x = 22,674.04/176.72
  6. Step 6: Final answer
    x = 128.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.