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Finding the Fourth Proportional to 286.40, 395.27 and 162.07

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Solution

The fourth proportional to 286.40, 395.27 and 162.07 is: 223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 395.27 = 162.07 : x
  2. Step 2: Convert to fraction form
    286.40/395.27 = 162.07/x
  3. Step 3: Cross multiply
    286.40x = 395.27 × 162.07
  4. Step 4: Simplify right side
    286.40x = 64,060.83
  5. Step 5: Solve for x
    x = 64,060.83/286.40
  6. Step 6: Final answer
    x = 223.67

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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.