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Finding the Fourth Proportional to 204.89, 308.88 and 176.23

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Solution

The fourth proportional to 204.89, 308.88 and 176.23 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.89 : 308.88 = 176.23 : x
  2. Step 2: Convert to fraction form
    204.89/308.88 = 176.23/x
  3. Step 3: Cross multiply
    204.89x = 308.88 × 176.23
  4. Step 4: Simplify right side
    204.89x = 54,433.92
  5. Step 5: Solve for x
    x = 54,433.92/204.89
  6. Step 6: Final answer
    x = 265.67

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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.