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Finding the Fourth Proportional to 368.39, 552.53 and 137.19

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Solution

The fourth proportional to 368.39, 552.53 and 137.19 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.39 : 552.53 = 137.19 : x
  2. Step 2: Convert to fraction form
    368.39/552.53 = 137.19/x
  3. Step 3: Cross multiply
    368.39x = 552.53 × 137.19
  4. Step 4: Simplify right side
    368.39x = 75,800.90
  5. Step 5: Solve for x
    x = 75,800.90/368.39
  6. Step 6: Final answer
    x = 205.77

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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.