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Finding the Fourth Proportional to 184.30, 253.89 and 172.96

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Solution

The fourth proportional to 184.30, 253.89 and 172.96 is: 238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.30 : 253.89 = 172.96 : x
  2. Step 2: Convert to fraction form
    184.30/253.89 = 172.96/x
  3. Step 3: Cross multiply
    184.30x = 253.89 × 172.96
  4. Step 4: Simplify right side
    184.30x = 43,912.81
  5. Step 5: Solve for x
    x = 43,912.81/184.30
  6. Step 6: Final answer
    x = 238.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.