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Finding the Fourth Proportional to 208.48, 313.01 and 131.21

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Solution

The fourth proportional to 208.48, 313.01 and 131.21 is: 197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.48 : 313.01 = 131.21 : x
  2. Step 2: Convert to fraction form
    208.48/313.01 = 131.21/x
  3. Step 3: Cross multiply
    208.48x = 313.01 × 131.21
  4. Step 4: Simplify right side
    208.48x = 41,070.17
  5. Step 5: Solve for x
    x = 41,070.17/208.48
  6. Step 6: Final answer
    x = 197.00

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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.