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Finding the Fourth Proportional to 289.24, 398.93 and 172.80

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Solution

The fourth proportional to 289.24, 398.93 and 172.80 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.24 : 398.93 = 172.80 : x
  2. Step 2: Convert to fraction form
    289.24/398.93 = 172.80/x
  3. Step 3: Cross multiply
    289.24x = 398.93 × 172.80
  4. Step 4: Simplify right side
    289.24x = 68,934.24
  5. Step 5: Solve for x
    x = 68,934.24/289.24
  6. Step 6: Final answer
    x = 238.33

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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.