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Finding the Fourth Proportional to 194.66, 268.71 and 148.04

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Solution

The fourth proportional to 194.66, 268.71 and 148.04 is: 204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.66 : 268.71 = 148.04 : x
  2. Step 2: Convert to fraction form
    194.66/268.71 = 148.04/x
  3. Step 3: Cross multiply
    194.66x = 268.71 × 148.04
  4. Step 4: Simplify right side
    194.66x = 39,780.50
  5. Step 5: Solve for x
    x = 39,780.50/194.66
  6. Step 6: Final answer
    x = 204.36

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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.