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Finding the Fourth Proportional to 212.10, 292.56 and 172.74

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Solution

The fourth proportional to 212.10, 292.56 and 172.74 is: 238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 292.56 = 172.74 : x
  2. Step 2: Convert to fraction form
    212.10/292.56 = 172.74/x
  3. Step 3: Cross multiply
    212.10x = 292.56 × 172.74
  4. Step 4: Simplify right side
    212.10x = 50,536.81
  5. Step 5: Solve for x
    x = 50,536.81/212.10
  6. Step 6: Final answer
    x = 238.27

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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.