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Finding the Fourth Proportional to 269.13, 403.71 and 106.93

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Solution

The fourth proportional to 269.13, 403.71 and 106.93 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.13 : 403.71 = 106.93 : x
  2. Step 2: Convert to fraction form
    269.13/403.71 = 106.93/x
  3. Step 3: Cross multiply
    269.13x = 403.71 × 106.93
  4. Step 4: Simplify right side
    269.13x = 43,168.71
  5. Step 5: Solve for x
    x = 43,168.71/269.13
  6. Step 6: Final answer
    x = 160.40

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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.