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Finding the Fourth Proportional to 223.16, 335.95 and 200.81

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Solution

The fourth proportional to 223.16, 335.95 and 200.81 is: 302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 335.95 = 200.81 : x
  2. Step 2: Convert to fraction form
    223.16/335.95 = 200.81/x
  3. Step 3: Cross multiply
    223.16x = 335.95 × 200.81
  4. Step 4: Simplify right side
    223.16x = 67,462.46
  5. Step 5: Solve for x
    x = 67,462.46/223.16
  6. Step 6: Final answer
    x = 302.31

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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.