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Finding the Fourth Proportional to 301.83, 416.24 and 197.00

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Solution

The fourth proportional to 301.83, 416.24 and 197.00 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.83 : 416.24 = 197.00 : x
  2. Step 2: Convert to fraction form
    301.83/416.24 = 197.00/x
  3. Step 3: Cross multiply
    301.83x = 416.24 × 197.00
  4. Step 4: Simplify right side
    301.83x = 81,997.77
  5. Step 5: Solve for x
    x = 81,997.77/301.83
  6. Step 6: Final answer
    x = 271.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.