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Finding the Fourth Proportional to 257.87, 387 and 155.27

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Solution

The fourth proportional to 257.87, 387 and 155.27 is: 233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.87 : 387 = 155.27 : x
  2. Step 2: Convert to fraction form
    257.87/387 = 155.27/x
  3. Step 3: Cross multiply
    257.87x = 387 × 155.27
  4. Step 4: Simplify right side
    257.87x = 60,089.49
  5. Step 5: Solve for x
    x = 60,089.49/257.87
  6. Step 6: Final answer
    x = 233.02

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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.