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Finding the Fourth Proportional to 368.98, 553.12 and 163.58

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Solution

The fourth proportional to 368.98, 553.12 and 163.58 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.98 : 553.12 = 163.58 : x
  2. Step 2: Convert to fraction form
    368.98/553.12 = 163.58/x
  3. Step 3: Cross multiply
    368.98x = 553.12 × 163.58
  4. Step 4: Simplify right side
    368.98x = 90,476.20
  5. Step 5: Solve for x
    x = 90,476.20/368.98
  6. Step 6: Final answer
    x = 245.21

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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.