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Finding the Fourth Proportional to 368.32, 552.76 and 206.14

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Solution

The fourth proportional to 368.32, 552.76 and 206.14 is: 309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 552.76 = 206.14 : x
  2. Step 2: Convert to fraction form
    368.32/552.76 = 206.14/x
  3. Step 3: Cross multiply
    368.32x = 552.76 × 206.14
  4. Step 4: Simplify right side
    368.32x = 113,945.95
  5. Step 5: Solve for x
    x = 113,945.95/368.32
  6. Step 6: Final answer
    x = 309.37

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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.