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Finding the Fourth Proportional to 193.08, 288.12 and 170.04

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Solution

The fourth proportional to 193.08, 288.12 and 170.04 is: 253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 288.12 = 170.04 : x
  2. Step 2: Convert to fraction form
    193.08/288.12 = 170.04/x
  3. Step 3: Cross multiply
    193.08x = 288.12 × 170.04
  4. Step 4: Simplify right side
    193.08x = 48,991.92
  5. Step 5: Solve for x
    x = 48,991.92/193.08
  6. Step 6: Final answer
    x = 253.74

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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.