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Finding the Fourth Proportional to 258.42, 387.57 and 142.83

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Solution

The fourth proportional to 258.42, 387.57 and 142.83 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 387.57 = 142.83 : x
  2. Step 2: Convert to fraction form
    258.42/387.57 = 142.83/x
  3. Step 3: Cross multiply
    258.42x = 387.57 × 142.83
  4. Step 4: Simplify right side
    258.42x = 55,356.62
  5. Step 5: Solve for x
    x = 55,356.62/258.42
  6. Step 6: Final answer
    x = 214.21

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Why These Related Problems?

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