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Finding the Fourth Proportional to 269.70, 404.45 and 107.35

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Solution

The fourth proportional to 269.70, 404.45 and 107.35 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 404.45 = 107.35 : x
  2. Step 2: Convert to fraction form
    269.70/404.45 = 107.35/x
  3. Step 3: Cross multiply
    269.70x = 404.45 × 107.35
  4. Step 4: Simplify right side
    269.70x = 43,417.71
  5. Step 5: Solve for x
    x = 43,417.71/269.70
  6. Step 6: Final answer
    x = 160.99

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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.