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Finding the Fourth Proportional to 296.49, 409.09 and 172.14

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Solution

The fourth proportional to 296.49, 409.09 and 172.14 is: 237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.49 : 409.09 = 172.14 : x
  2. Step 2: Convert to fraction form
    296.49/409.09 = 172.14/x
  3. Step 3: Cross multiply
    296.49x = 409.09 × 172.14
  4. Step 4: Simplify right side
    296.49x = 70,419.44
  5. Step 5: Solve for x
    x = 70,419.44/296.49
  6. Step 6: Final answer
    x = 237.51

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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.