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Finding the Fourth Proportional to 371.51, 556.89 and 188.35

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Solution

The fourth proportional to 371.51, 556.89 and 188.35 is: 282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.51 : 556.89 = 188.35 : x
  2. Step 2: Convert to fraction form
    371.51/556.89 = 188.35/x
  3. Step 3: Cross multiply
    371.51x = 556.89 × 188.35
  4. Step 4: Simplify right side
    371.51x = 104,889.29
  5. Step 5: Solve for x
    x = 104,889.29/371.51
  6. Step 6: Final answer
    x = 282.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.