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Finding the Fourth Proportional to 258.29, 387.05 and 203.58

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Solution

The fourth proportional to 258.29, 387.05 and 203.58 is: 305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 387.05 = 203.58 : x
  2. Step 2: Convert to fraction form
    258.29/387.05 = 203.58/x
  3. Step 3: Cross multiply
    258.29x = 387.05 × 203.58
  4. Step 4: Simplify right side
    258.29x = 78,794.71
  5. Step 5: Solve for x
    x = 78,794.71/258.29
  6. Step 6: Final answer
    x = 305.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.