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Finding the Fourth Proportional to 549.98, 825.12 and 225.58

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Solution

The fourth proportional to 549.98, 825.12 and 225.58 is: 338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.98 : 825.12 = 225.58 : x
  2. Step 2: Convert to fraction form
    549.98/825.12 = 225.58/x
  3. Step 3: Cross multiply
    549.98x = 825.12 × 225.58
  4. Step 4: Simplify right side
    549.98x = 186,128.51
  5. Step 5: Solve for x
    x = 186,128.51/549.98
  6. Step 6: Final answer
    x = 338.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.