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Finding the Fourth Proportional to 176.29, 263.36 and 140.26

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Solution

The fourth proportional to 176.29, 263.36 and 140.26 is: 209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.29 : 263.36 = 140.26 : x
  2. Step 2: Convert to fraction form
    176.29/263.36 = 140.26/x
  3. Step 3: Cross multiply
    176.29x = 263.36 × 140.26
  4. Step 4: Simplify right side
    176.29x = 36,938.87
  5. Step 5: Solve for x
    x = 36,938.87/176.29
  6. Step 6: Final answer
    x = 209.53

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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.