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Finding the Fourth Proportional to 178.86, 268.23 and 57.09

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Solution

The fourth proportional to 178.86, 268.23 and 57.09 is: 85.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.86 : 268.23 = 57.09 : x
  2. Step 2: Convert to fraction form
    178.86/268.23 = 57.09/x
  3. Step 3: Cross multiply
    178.86x = 268.23 × 57.09
  4. Step 4: Simplify right side
    178.86x = 15,313.25
  5. Step 5: Solve for x
    x = 15,313.25/178.86
  6. Step 6: Final answer
    x = 85.62

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Why These Related Problems?

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