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Finding the Fourth Proportional to 368.92, 553.40 and 137.84

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Solution

The fourth proportional to 368.92, 553.40 and 137.84 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.92 : 553.40 = 137.84 : x
  2. Step 2: Convert to fraction form
    368.92/553.40 = 137.84/x
  3. Step 3: Cross multiply
    368.92x = 553.40 × 137.84
  4. Step 4: Simplify right side
    368.92x = 76,280.66
  5. Step 5: Solve for x
    x = 76,280.66/368.92
  6. Step 6: Final answer
    x = 206.77

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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.