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Finding the Fourth Proportional to 253.36, 380.40 and 181.36

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Solution

The fourth proportional to 253.36, 380.40 and 181.36 is: 272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.36 : 380.40 = 181.36 : x
  2. Step 2: Convert to fraction form
    253.36/380.40 = 181.36/x
  3. Step 3: Cross multiply
    253.36x = 380.40 × 181.36
  4. Step 4: Simplify right side
    253.36x = 68,989.34
  5. Step 5: Solve for x
    x = 68,989.34/253.36
  6. Step 6: Final answer
    x = 272.30

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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.