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Finding the Fourth Proportional to 194.69, 291.69 and 140.46

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Solution

The fourth proportional to 194.69, 291.69 and 140.46 is: 210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 291.69 = 140.46 : x
  2. Step 2: Convert to fraction form
    194.69/291.69 = 140.46/x
  3. Step 3: Cross multiply
    194.69x = 291.69 × 140.46
  4. Step 4: Simplify right side
    194.69x = 40,970.78
  5. Step 5: Solve for x
    x = 40,970.78/194.69
  6. Step 6: Final answer
    x = 210.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.