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Finding the Fourth Proportional to 228.96, 344.70 and 177.89

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Solution

The fourth proportional to 228.96, 344.70 and 177.89 is: 267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.96 : 344.70 = 177.89 : x
  2. Step 2: Convert to fraction form
    228.96/344.70 = 177.89/x
  3. Step 3: Cross multiply
    228.96x = 344.70 × 177.89
  4. Step 4: Simplify right side
    228.96x = 61,316.96
  5. Step 5: Solve for x
    x = 61,316.96/228.96
  6. Step 6: Final answer
    x = 267.81

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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.