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Finding the Fourth Proportional to 194.99, 269.28 and 147.87

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Solution

The fourth proportional to 194.99, 269.28 and 147.87 is: 204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.99 : 269.28 = 147.87 : x
  2. Step 2: Convert to fraction form
    194.99/269.28 = 147.87/x
  3. Step 3: Cross multiply
    194.99x = 269.28 × 147.87
  4. Step 4: Simplify right side
    194.99x = 39,818.43
  5. Step 5: Solve for x
    x = 39,818.43/194.99
  6. Step 6: Final answer
    x = 204.21

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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.