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Finding the Fourth Proportional to 229.41, 342.63 and 194.81

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Solution

The fourth proportional to 229.41, 342.63 and 194.81 is: 290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.41 : 342.63 = 194.81 : x
  2. Step 2: Convert to fraction form
    229.41/342.63 = 194.81/x
  3. Step 3: Cross multiply
    229.41x = 342.63 × 194.81
  4. Step 4: Simplify right side
    229.41x = 66,746.04
  5. Step 5: Solve for x
    x = 66,746.04/229.41
  6. Step 6: Final answer
    x = 290.95

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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.