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Finding the Fourth Proportional to 257.83, 386.78 and 95.50

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Solution

The fourth proportional to 257.83, 386.78 and 95.50 is: 143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.83 : 386.78 = 95.50 : x
  2. Step 2: Convert to fraction form
    257.83/386.78 = 95.50/x
  3. Step 3: Cross multiply
    257.83x = 386.78 × 95.50
  4. Step 4: Simplify right side
    257.83x = 36,937.49
  5. Step 5: Solve for x
    x = 36,937.49/257.83
  6. Step 6: Final answer
    x = 143.26

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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.