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Finding the Fourth Proportional to 208.40, 313.00 and 189.36

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Solution

The fourth proportional to 208.40, 313.00 and 189.36 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 313.00 = 189.36 : x
  2. Step 2: Convert to fraction form
    208.40/313.00 = 189.36/x
  3. Step 3: Cross multiply
    208.40x = 313.00 × 189.36
  4. Step 4: Simplify right side
    208.40x = 59,269.21
  5. Step 5: Solve for x
    x = 59,269.21/208.40
  6. Step 6: Final answer
    x = 284.41

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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.