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Finding the Fourth Proportional to 371.32, 512.42 and 205.54

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Solution

The fourth proportional to 371.32, 512.42 and 205.54 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.32 : 512.42 = 205.54 : x
  2. Step 2: Convert to fraction form
    371.32/512.42 = 205.54/x
  3. Step 3: Cross multiply
    371.32x = 512.42 × 205.54
  4. Step 4: Simplify right side
    371.32x = 105,322.81
  5. Step 5: Solve for x
    x = 105,322.81/371.32
  6. Step 6: Final answer
    x = 283.64

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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.