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Finding the Fourth Proportional to 263.86, 362.12 and 256.97

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Solution

The fourth proportional to 263.86, 362.12 and 256.97 is: 352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 362.12 = 256.97 : x
  2. Step 2: Convert to fraction form
    263.86/362.12 = 256.97/x
  3. Step 3: Cross multiply
    263.86x = 362.12 × 256.97
  4. Step 4: Simplify right side
    263.86x = 93,055.04
  5. Step 5: Solve for x
    x = 93,055.04/263.86
  6. Step 6: Final answer
    x = 352.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.