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Finding the Fourth Proportional to 178.69, 268.05 and 56.95

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Solution

The fourth proportional to 178.69, 268.05 and 56.95 is: 85.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.69 : 268.05 = 56.95 : x
  2. Step 2: Convert to fraction form
    178.69/268.05 = 56.95/x
  3. Step 3: Cross multiply
    178.69x = 268.05 × 56.95
  4. Step 4: Simplify right side
    178.69x = 15,266.28
  5. Step 5: Solve for x
    x = 15,266.28/178.69
  6. Step 6: Final answer
    x = 85.43

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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.