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Finding the Fourth Proportional to 176.86, 263.57 and 172.54

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Solution

The fourth proportional to 176.86, 263.57 and 172.54 is: 257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.86 : 263.57 = 172.54 : x
  2. Step 2: Convert to fraction form
    176.86/263.57 = 172.54/x
  3. Step 3: Cross multiply
    176.86x = 263.57 × 172.54
  4. Step 4: Simplify right side
    176.86x = 45,476.37
  5. Step 5: Solve for x
    x = 45,476.37/176.86
  6. Step 6: Final answer
    x = 257.13

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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.