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Finding the Fourth Proportional to 178.76, 268.17 and 57.02

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Solution

The fourth proportional to 178.76, 268.17 and 57.02 is: 85.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.76 : 268.17 = 57.02 : x
  2. Step 2: Convert to fraction form
    178.76/268.17 = 57.02/x
  3. Step 3: Cross multiply
    178.76x = 268.17 × 57.02
  4. Step 4: Simplify right side
    178.76x = 15,289.71
  5. Step 5: Solve for x
    x = 15,289.71/178.76
  6. Step 6: Final answer
    x = 85.53

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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.