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Finding the Fourth Proportional to 371.84, 557.06 and 209.02

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Solution

The fourth proportional to 371.84, 557.06 and 209.02 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.84 : 557.06 = 209.02 : x
  2. Step 2: Convert to fraction form
    371.84/557.06 = 209.02/x
  3. Step 3: Cross multiply
    371.84x = 557.06 × 209.02
  4. Step 4: Simplify right side
    371.84x = 116,436.68
  5. Step 5: Solve for x
    x = 116,436.68/371.84
  6. Step 6: Final answer
    x = 313.14

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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.