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Finding the Fourth Proportional to 286.65, 395.60 and 162.32

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Solution

The fourth proportional to 286.65, 395.60 and 162.32 is: 224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.65 : 395.60 = 162.32 : x
  2. Step 2: Convert to fraction form
    286.65/395.60 = 162.32/x
  3. Step 3: Cross multiply
    286.65x = 395.60 × 162.32
  4. Step 4: Simplify right side
    286.65x = 64,211.00
  5. Step 5: Solve for x
    x = 64,211.00/286.65
  6. Step 6: Final answer
    x = 224.00

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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.