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Finding the Fourth Proportional to 293.13, 438.02 and 223.34

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Solution

The fourth proportional to 293.13, 438.02 and 223.34 is: 333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 438.02 = 223.34 : x
  2. Step 2: Convert to fraction form
    293.13/438.02 = 223.34/x
  3. Step 3: Cross multiply
    293.13x = 438.02 × 223.34
  4. Step 4: Simplify right side
    293.13x = 97,824.92
  5. Step 5: Solve for x
    x = 97,824.92/293.13
  6. Step 6: Final answer
    x = 333.73

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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.