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Finding the Fourth Proportional to 178.86, 268.29 and 55.46

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Solution

The fourth proportional to 178.86, 268.29 and 55.46 is: 83.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.86 : 268.29 = 55.46 : x
  2. Step 2: Convert to fraction form
    178.86/268.29 = 55.46/x
  3. Step 3: Cross multiply
    178.86x = 268.29 × 55.46
  4. Step 4: Simplify right side
    178.86x = 14,879.36
  5. Step 5: Solve for x
    x = 14,879.36/178.86
  6. Step 6: Final answer
    x = 83.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.