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Finding the Fourth Proportional to 371.08, 556.98 and 209.08

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Solution

The fourth proportional to 371.08, 556.98 and 209.08 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.08 : 556.98 = 209.08 : x
  2. Step 2: Convert to fraction form
    371.08/556.98 = 209.08/x
  3. Step 3: Cross multiply
    371.08x = 556.98 × 209.08
  4. Step 4: Simplify right side
    371.08x = 116,453.38
  5. Step 5: Solve for x
    x = 116,453.38/371.08
  6. Step 6: Final answer
    x = 313.82

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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.