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Finding the Fourth Proportional to 223.29, 305.27 and 214.78

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Solution

The fourth proportional to 223.29, 305.27 and 214.78 is: 293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.29 : 305.27 = 214.78 : x
  2. Step 2: Convert to fraction form
    223.29/305.27 = 214.78/x
  3. Step 3: Cross multiply
    223.29x = 305.27 × 214.78
  4. Step 4: Simplify right side
    223.29x = 65,565.89
  5. Step 5: Solve for x
    x = 65,565.89/223.29
  6. Step 6: Final answer
    x = 293.64

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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.