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Finding the Fourth Proportional to 181.80, 272.64 and 110.10

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Solution

The fourth proportional to 181.80, 272.64 and 110.10 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 272.64 = 110.10 : x
  2. Step 2: Convert to fraction form
    181.80/272.64 = 110.10/x
  3. Step 3: Cross multiply
    181.80x = 272.64 × 110.10
  4. Step 4: Simplify right side
    181.80x = 30,017.66
  5. Step 5: Solve for x
    x = 30,017.66/181.80
  6. Step 6: Final answer
    x = 165.11

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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.