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Finding the Fourth Proportional to 194.13, 289.75 and 180.58

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Solution

The fourth proportional to 194.13, 289.75 and 180.58 is: 269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.13 : 289.75 = 180.58 : x
  2. Step 2: Convert to fraction form
    194.13/289.75 = 180.58/x
  3. Step 3: Cross multiply
    194.13x = 289.75 × 180.58
  4. Step 4: Simplify right side
    194.13x = 52,323.06
  5. Step 5: Solve for x
    x = 52,323.06/194.13
  6. Step 6: Final answer
    x = 269.53

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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.