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Finding the Fourth Proportional to 289.09, 399.13 and 190.91

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Solution

The fourth proportional to 289.09, 399.13 and 190.91 is: 263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.09 : 399.13 = 190.91 : x
  2. Step 2: Convert to fraction form
    289.09/399.13 = 190.91/x
  3. Step 3: Cross multiply
    289.09x = 399.13 × 190.91
  4. Step 4: Simplify right side
    289.09x = 76,196.18
  5. Step 5: Solve for x
    x = 76,196.18/289.09
  6. Step 6: Final answer
    x = 263.57

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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.