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Finding the Fourth Proportional to 269.12, 403.80 and 208.16

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Solution

The fourth proportional to 269.12, 403.80 and 208.16 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 403.80 = 208.16 : x
  2. Step 2: Convert to fraction form
    269.12/403.80 = 208.16/x
  3. Step 3: Cross multiply
    269.12x = 403.80 × 208.16
  4. Step 4: Simplify right side
    269.12x = 84,055.01
  5. Step 5: Solve for x
    x = 84,055.01/269.12
  6. Step 6: Final answer
    x = 312.33

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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.