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Finding the Fourth Proportional to 269.86, 405.40 and 193.02

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Solution

The fourth proportional to 269.86, 405.40 and 193.02 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 405.40 = 193.02 : x
  2. Step 2: Convert to fraction form
    269.86/405.40 = 193.02/x
  3. Step 3: Cross multiply
    269.86x = 405.40 × 193.02
  4. Step 4: Simplify right side
    269.86x = 78,250.31
  5. Step 5: Solve for x
    x = 78,250.31/269.86
  6. Step 6: Final answer
    x = 289.97

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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.