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Finding the Fourth Proportional to 258.43, 355.86 and 223.40

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Solution

The fourth proportional to 258.43, 355.86 and 223.40 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.43 : 355.86 = 223.40 : x
  2. Step 2: Convert to fraction form
    258.43/355.86 = 223.40/x
  3. Step 3: Cross multiply
    258.43x = 355.86 × 223.40
  4. Step 4: Simplify right side
    258.43x = 79,496.23
  5. Step 5: Solve for x
    x = 79,496.23/258.43
  6. Step 6: Final answer
    x = 307.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.