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Finding the Fourth Proportional to 176.23, 262.66 and 175.96

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Solution

The fourth proportional to 176.23, 262.66 and 175.96 is: 262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.23 : 262.66 = 175.96 : x
  2. Step 2: Convert to fraction form
    176.23/262.66 = 175.96/x
  3. Step 3: Cross multiply
    176.23x = 262.66 × 175.96
  4. Step 4: Simplify right side
    176.23x = 46,217.65
  5. Step 5: Solve for x
    x = 46,217.65/176.23
  6. Step 6: Final answer
    x = 262.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.