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Finding the Fourth Proportional to 225.99, 310.52 and 184.44

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Solution

The fourth proportional to 225.99, 310.52 and 184.44 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.99 : 310.52 = 184.44 : x
  2. Step 2: Convert to fraction form
    225.99/310.52 = 184.44/x
  3. Step 3: Cross multiply
    225.99x = 310.52 × 184.44
  4. Step 4: Simplify right side
    225.99x = 57,271.39
  5. Step 5: Solve for x
    x = 57,271.39/225.99
  6. Step 6: Final answer
    x = 253.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.