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Finding the Fourth Proportional to 179.29, 246.63 and 147.70

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Solution

The fourth proportional to 179.29, 246.63 and 147.70 is: 203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.29 : 246.63 = 147.70 : x
  2. Step 2: Convert to fraction form
    179.29/246.63 = 147.70/x
  3. Step 3: Cross multiply
    179.29x = 246.63 × 147.70
  4. Step 4: Simplify right side
    179.29x = 36,427.25
  5. Step 5: Solve for x
    x = 36,427.25/179.29
  6. Step 6: Final answer
    x = 203.18

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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.