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Finding the Fourth Proportional to 368.93, 553.33 and 137.77

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Solution

The fourth proportional to 368.93, 553.33 and 137.77 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.93 : 553.33 = 137.77 : x
  2. Step 2: Convert to fraction form
    368.93/553.33 = 137.77/x
  3. Step 3: Cross multiply
    368.93x = 553.33 × 137.77
  4. Step 4: Simplify right side
    368.93x = 76,232.27
  5. Step 5: Solve for x
    x = 76,232.27/368.93
  6. Step 6: Final answer
    x = 206.63

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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.