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Finding the Fourth Proportional to 176.82, 263.88 and 172.78

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Solution

The fourth proportional to 176.82, 263.88 and 172.78 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.82 : 263.88 = 172.78 : x
  2. Step 2: Convert to fraction form
    176.82/263.88 = 172.78/x
  3. Step 3: Cross multiply
    176.82x = 263.88 × 172.78
  4. Step 4: Simplify right side
    176.82x = 45,593.19
  5. Step 5: Solve for x
    x = 45,593.19/176.82
  6. Step 6: Final answer
    x = 257.85

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