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Finding the Fourth Proportional to 312.18, 466.37 and 223.63

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Solution

The fourth proportional to 312.18, 466.37 and 223.63 is: 334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.18 : 466.37 = 223.63 : x
  2. Step 2: Convert to fraction form
    312.18/466.37 = 223.63/x
  3. Step 3: Cross multiply
    312.18x = 466.37 × 223.63
  4. Step 4: Simplify right side
    312.18x = 104,293.19
  5. Step 5: Solve for x
    x = 104,293.19/312.18
  6. Step 6: Final answer
    x = 334.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.