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Finding the Fourth Proportional to 227.07, 338.76 and 210.53

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Solution

The fourth proportional to 227.07, 338.76 and 210.53 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.07 : 338.76 = 210.53 : x
  2. Step 2: Convert to fraction form
    227.07/338.76 = 210.53/x
  3. Step 3: Cross multiply
    227.07x = 338.76 × 210.53
  4. Step 4: Simplify right side
    227.07x = 71,319.14
  5. Step 5: Solve for x
    x = 71,319.14/227.07
  6. Step 6: Final answer
    x = 314.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.