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Finding the Fourth Proportional to 295.40, 406.68 and 201.95

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Solution

The fourth proportional to 295.40, 406.68 and 201.95 is: 278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.40 : 406.68 = 201.95 : x
  2. Step 2: Convert to fraction form
    295.40/406.68 = 201.95/x
  3. Step 3: Cross multiply
    295.40x = 406.68 × 201.95
  4. Step 4: Simplify right side
    295.40x = 82,129.03
  5. Step 5: Solve for x
    x = 82,129.03/295.40
  6. Step 6: Final answer
    x = 278.03

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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.