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Finding the Fourth Proportional to 263.89, 364.15 and 145.86

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Solution

The fourth proportional to 263.89, 364.15 and 145.86 is: 201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.89 : 364.15 = 145.86 : x
  2. Step 2: Convert to fraction form
    263.89/364.15 = 145.86/x
  3. Step 3: Cross multiply
    263.89x = 364.15 × 145.86
  4. Step 4: Simplify right side
    263.89x = 53,113.74
  5. Step 5: Solve for x
    x = 53,113.74/263.89
  6. Step 6: Final answer
    x = 201.27

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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.