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Finding the Fourth Proportional to 258.52, 387.82 and 143.02

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Solution

The fourth proportional to 258.52, 387.82 and 143.02 is: 214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 387.82 = 143.02 : x
  2. Step 2: Convert to fraction form
    258.52/387.82 = 143.02/x
  3. Step 3: Cross multiply
    258.52x = 387.82 × 143.02
  4. Step 4: Simplify right side
    258.52x = 55,466.02
  5. Step 5: Solve for x
    x = 55,466.02/258.52
  6. Step 6: Final answer
    x = 214.55

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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.