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Finding the Fourth Proportional to 287.02, 396.07 and 162.68

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Solution

The fourth proportional to 287.02, 396.07 and 162.68 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.02 : 396.07 = 162.68 : x
  2. Step 2: Convert to fraction form
    287.02/396.07 = 162.68/x
  3. Step 3: Cross multiply
    287.02x = 396.07 × 162.68
  4. Step 4: Simplify right side
    287.02x = 64,430.28
  5. Step 5: Solve for x
    x = 64,430.28/287.02
  6. Step 6: Final answer
    x = 224.48

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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.