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Finding the Fourth Proportional to 228.32, 342.66 and 205.64

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Solution

The fourth proportional to 228.32, 342.66 and 205.64 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.32 : 342.66 = 205.64 : x
  2. Step 2: Convert to fraction form
    228.32/342.66 = 205.64/x
  3. Step 3: Cross multiply
    228.32x = 342.66 × 205.64
  4. Step 4: Simplify right side
    228.32x = 70,464.60
  5. Step 5: Solve for x
    x = 70,464.60/228.32
  6. Step 6: Final answer
    x = 308.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.