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Finding the Fourth Proportional to 257.89, 355.83 and 145.86

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Solution

The fourth proportional to 257.89, 355.83 and 145.86 is: 201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.89 : 355.83 = 145.86 : x
  2. Step 2: Convert to fraction form
    257.89/355.83 = 145.86/x
  3. Step 3: Cross multiply
    257.89x = 355.83 × 145.86
  4. Step 4: Simplify right side
    257.89x = 51,901.94
  5. Step 5: Solve for x
    x = 51,901.94/257.89
  6. Step 6: Final answer
    x = 201.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.