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Finding the Fourth Proportional to 274.66, 412.20 and 172.06

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Solution

The fourth proportional to 274.66, 412.20 and 172.06 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.66 : 412.20 = 172.06 : x
  2. Step 2: Convert to fraction form
    274.66/412.20 = 172.06/x
  3. Step 3: Cross multiply
    274.66x = 412.20 × 172.06
  4. Step 4: Simplify right side
    274.66x = 70,923.13
  5. Step 5: Solve for x
    x = 70,923.13/274.66
  6. Step 6: Final answer
    x = 258.22

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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.