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Finding the Fourth Proportional to 194.66, 291.65 and 140.30

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Solution

The fourth proportional to 194.66, 291.65 and 140.30 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.66 : 291.65 = 140.30 : x
  2. Step 2: Convert to fraction form
    194.66/291.65 = 140.30/x
  3. Step 3: Cross multiply
    194.66x = 291.65 × 140.30
  4. Step 4: Simplify right side
    194.66x = 40,918.50
  5. Step 5: Solve for x
    x = 40,918.50/194.66
  6. Step 6: Final answer
    x = 210.20

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Why These Related Problems?

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