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Finding the Fourth Proportional to 368.99, 553.23 and 137.60

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Solution

The fourth proportional to 368.99, 553.23 and 137.60 is: 206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.99 : 553.23 = 137.60 : x
  2. Step 2: Convert to fraction form
    368.99/553.23 = 137.60/x
  3. Step 3: Cross multiply
    368.99x = 553.23 × 137.60
  4. Step 4: Simplify right side
    368.99x = 76,121.68
  5. Step 5: Solve for x
    x = 76,121.68/368.99
  6. Step 6: Final answer
    x = 206.30

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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.