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Finding the Fourth Proportional to 178.70, 246.59 and 105.02

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Solution

The fourth proportional to 178.70, 246.59 and 105.02 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.70 : 246.59 = 105.02 : x
  2. Step 2: Convert to fraction form
    178.70/246.59 = 105.02/x
  3. Step 3: Cross multiply
    178.70x = 246.59 × 105.02
  4. Step 4: Simplify right side
    178.70x = 25,895.12
  5. Step 5: Solve for x
    x = 25,895.12/178.70
  6. Step 6: Final answer
    x = 144.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.