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Finding the Fourth Proportional to 368.28, 552.36 and 111.78

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Solution

The fourth proportional to 368.28, 552.36 and 111.78 is: 167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.28 : 552.36 = 111.78 : x
  2. Step 2: Convert to fraction form
    368.28/552.36 = 111.78/x
  3. Step 3: Cross multiply
    368.28x = 552.36 × 111.78
  4. Step 4: Simplify right side
    368.28x = 61,742.80
  5. Step 5: Solve for x
    x = 61,742.80/368.28
  6. Step 6: Final answer
    x = 167.65

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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.