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Finding the Fourth Proportional to 257.84, 386.57 and 103.80

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Solution

The fourth proportional to 257.84, 386.57 and 103.80 is: 155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 386.57 = 103.80 : x
  2. Step 2: Convert to fraction form
    257.84/386.57 = 103.80/x
  3. Step 3: Cross multiply
    257.84x = 386.57 × 103.80
  4. Step 4: Simplify right side
    257.84x = 40,125.45
  5. Step 5: Solve for x
    x = 40,125.45/257.84
  6. Step 6: Final answer
    x = 155.62

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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.