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Finding the Fourth Proportional to 194.65, 291.44 and 98.26

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Solution

The fourth proportional to 194.65, 291.44 and 98.26 is: 147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.65 : 291.44 = 98.26 : x
  2. Step 2: Convert to fraction form
    194.65/291.44 = 98.26/x
  3. Step 3: Cross multiply
    194.65x = 291.44 × 98.26
  4. Step 4: Simplify right side
    194.65x = 28,636.40
  5. Step 5: Solve for x
    x = 28,636.40/194.65
  6. Step 6: Final answer
    x = 147.12

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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.