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Finding the Fourth Proportional to 228.80, 312.97 and 223.40

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Solution

The fourth proportional to 228.80, 312.97 and 223.40 is: 305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.80 : 312.97 = 223.40 : x
  2. Step 2: Convert to fraction form
    228.80/312.97 = 223.40/x
  3. Step 3: Cross multiply
    228.80x = 312.97 × 223.40
  4. Step 4: Simplify right side
    228.80x = 69,917.50
  5. Step 5: Solve for x
    x = 69,917.50/228.80
  6. Step 6: Final answer
    x = 305.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.