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Finding the Fourth Proportional to 257.83, 385.77 and 153.33

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Solution

The fourth proportional to 257.83, 385.77 and 153.33 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.83 : 385.77 = 153.33 : x
  2. Step 2: Convert to fraction form
    257.83/385.77 = 153.33/x
  3. Step 3: Cross multiply
    257.83x = 385.77 × 153.33
  4. Step 4: Simplify right side
    257.83x = 59,149.38
  5. Step 5: Solve for x
    x = 59,149.38/257.83
  6. Step 6: Final answer
    x = 229.42

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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.