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Finding the Fourth Proportional to 195.30, 291.24 and 160.74

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Solution

The fourth proportional to 195.30, 291.24 and 160.74 is: 239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 291.24 = 160.74 : x
  2. Step 2: Convert to fraction form
    195.30/291.24 = 160.74/x
  3. Step 3: Cross multiply
    195.30x = 291.24 × 160.74
  4. Step 4: Simplify right side
    195.30x = 46,813.92
  5. Step 5: Solve for x
    x = 46,813.92/195.30
  6. Step 6: Final answer
    x = 239.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.