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Finding the Fourth Proportional to 203.71, 306.60 and 152.62

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Solution

The fourth proportional to 203.71, 306.60 and 152.62 is: 229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.71 : 306.60 = 152.62 : x
  2. Step 2: Convert to fraction form
    203.71/306.60 = 152.62/x
  3. Step 3: Cross multiply
    203.71x = 306.60 × 152.62
  4. Step 4: Simplify right side
    203.71x = 46,792.53
  5. Step 5: Solve for x
    x = 46,792.53/203.71
  6. Step 6: Final answer
    x = 229.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.