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Finding the Fourth Proportional to 287.36, 396.37 and 176.87

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Solution

The fourth proportional to 287.36, 396.37 and 176.87 is: 243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.36 : 396.37 = 176.87 : x
  2. Step 2: Convert to fraction form
    287.36/396.37 = 176.87/x
  3. Step 3: Cross multiply
    287.36x = 396.37 × 176.87
  4. Step 4: Simplify right side
    287.36x = 70,106.51
  5. Step 5: Solve for x
    x = 70,106.51/287.36
  6. Step 6: Final answer
    x = 243.97

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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.