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Finding the Fourth Proportional to 371.91, 557.87 and 98.00

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Solution

The fourth proportional to 371.91, 557.87 and 98.00 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.91 : 557.87 = 98.00 : x
  2. Step 2: Convert to fraction form
    371.91/557.87 = 98.00/x
  3. Step 3: Cross multiply
    371.91x = 557.87 × 98.00
  4. Step 4: Simplify right side
    371.91x = 54,667.98
  5. Step 5: Solve for x
    x = 54,667.98/371.91
  6. Step 6: Final answer
    x = 146.99

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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.