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Finding the Fourth Proportional to 371.65, 557.55 and 208.99

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Solution

The fourth proportional to 371.65, 557.55 and 208.99 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.65 : 557.55 = 208.99 : x
  2. Step 2: Convert to fraction form
    371.65/557.55 = 208.99/x
  3. Step 3: Cross multiply
    371.65x = 557.55 × 208.99
  4. Step 4: Simplify right side
    371.65x = 116,522.37
  5. Step 5: Solve for x
    x = 116,522.37/371.65
  6. Step 6: Final answer
    x = 313.53

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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.