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Finding the Fourth Proportional to 289.25, 434.13 and 143.09

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Solution

The fourth proportional to 289.25, 434.13 and 143.09 is: 214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.25 : 434.13 = 143.09 : x
  2. Step 2: Convert to fraction form
    289.25/434.13 = 143.09/x
  3. Step 3: Cross multiply
    289.25x = 434.13 × 143.09
  4. Step 4: Simplify right side
    289.25x = 62,119.66
  5. Step 5: Solve for x
    x = 62,119.66/289.25
  6. Step 6: Final answer
    x = 214.76

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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.