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Finding the Fourth Proportional to 176.11, 262.69 and 172.87

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Solution

The fourth proportional to 176.11, 262.69 and 172.87 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.11 : 262.69 = 172.87 : x
  2. Step 2: Convert to fraction form
    176.11/262.69 = 172.87/x
  3. Step 3: Cross multiply
    176.11x = 262.69 × 172.87
  4. Step 4: Simplify right side
    176.11x = 45,410.13
  5. Step 5: Solve for x
    x = 45,410.13/176.11
  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.