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Finding the Fourth Proportional to 195.76, 270.16 and 117.04

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Solution

The fourth proportional to 195.76, 270.16 and 117.04 is: 161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.76 : 270.16 = 117.04 : x
  2. Step 2: Convert to fraction form
    195.76/270.16 = 117.04/x
  3. Step 3: Cross multiply
    195.76x = 270.16 × 117.04
  4. Step 4: Simplify right side
    195.76x = 31,619.53
  5. Step 5: Solve for x
    x = 31,619.53/195.76
  6. Step 6: Final answer
    x = 161.52

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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.