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Finding the Fourth Proportional to 286.50, 395.35 and 162.16

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Solution

The fourth proportional to 286.50, 395.35 and 162.16 is: 223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 395.35 = 162.16 : x
  2. Step 2: Convert to fraction form
    286.50/395.35 = 162.16/x
  3. Step 3: Cross multiply
    286.50x = 395.35 × 162.16
  4. Step 4: Simplify right side
    286.50x = 64,109.96
  5. Step 5: Solve for x
    x = 64,109.96/286.50
  6. Step 6: Final answer
    x = 223.77

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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.