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Finding the Fourth Proportional to 179.74, 270.67 and 157.18

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Solution

The fourth proportional to 179.74, 270.67 and 157.18 is: 236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.74 : 270.67 = 157.18 : x
  2. Step 2: Convert to fraction form
    179.74/270.67 = 157.18/x
  3. Step 3: Cross multiply
    179.74x = 270.67 × 157.18
  4. Step 4: Simplify right side
    179.74x = 42,543.91
  5. Step 5: Solve for x
    x = 42,543.91/179.74
  6. Step 6: Final answer
    x = 236.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.