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Finding the Fourth Proportional to 194.47, 291.43 and 98.35

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Solution

The fourth proportional to 194.47, 291.43 and 98.35 is: 147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 291.43 = 98.35 : x
  2. Step 2: Convert to fraction form
    194.47/291.43 = 98.35/x
  3. Step 3: Cross multiply
    194.47x = 291.43 × 98.35
  4. Step 4: Simplify right side
    194.47x = 28,662.14
  5. Step 5: Solve for x
    x = 28,662.14/194.47
  6. Step 6: Final answer
    x = 147.39

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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.