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Finding the Fourth Proportional to 178.30, 247.76 and 177.58

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Solution

The fourth proportional to 178.30, 247.76 and 177.58 is: 246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.30 : 247.76 = 177.58 : x
  2. Step 2: Convert to fraction form
    178.30/247.76 = 177.58/x
  3. Step 3: Cross multiply
    178.30x = 247.76 × 177.58
  4. Step 4: Simplify right side
    178.30x = 43,997.22
  5. Step 5: Solve for x
    x = 43,997.22/178.30
  6. Step 6: Final answer
    x = 246.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.