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Finding the Fourth Proportional to 227.53, 314.01 and 172.18

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Solution

The fourth proportional to 227.53, 314.01 and 172.18 is: 237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.53 : 314.01 = 172.18 : x
  2. Step 2: Convert to fraction form
    227.53/314.01 = 172.18/x
  3. Step 3: Cross multiply
    227.53x = 314.01 × 172.18
  4. Step 4: Simplify right side
    227.53x = 54,066.24
  5. Step 5: Solve for x
    x = 54,066.24/227.53
  6. Step 6: Final answer
    x = 237.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.