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Finding the Fourth Proportional to 371.11, 556.80 and 208.93

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Solution

The fourth proportional to 371.11, 556.80 and 208.93 is: 313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.11 : 556.80 = 208.93 : x
  2. Step 2: Convert to fraction form
    371.11/556.80 = 208.93/x
  3. Step 3: Cross multiply
    371.11x = 556.80 × 208.93
  4. Step 4: Simplify right side
    371.11x = 116,332.22
  5. Step 5: Solve for x
    x = 116,332.22/371.11
  6. Step 6: Final answer
    x = 313.47

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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.