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Finding the Fourth Proportional to 368.88, 552.93 and 137.94

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Solution

The fourth proportional to 368.88, 552.93 and 137.94 is: 206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.88 : 552.93 = 137.94 : x
  2. Step 2: Convert to fraction form
    368.88/552.93 = 137.94/x
  3. Step 3: Cross multiply
    368.88x = 552.93 × 137.94
  4. Step 4: Simplify right side
    368.88x = 76,271.16
  5. Step 5: Solve for x
    x = 76,271.16/368.88
  6. Step 6: Final answer
    x = 206.76

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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.