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Finding the Fourth Proportional to 181.80, 271.26 and 180.18

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Solution

The fourth proportional to 181.80, 271.26 and 180.18 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 271.26 = 180.18 : x
  2. Step 2: Convert to fraction form
    181.80/271.26 = 180.18/x
  3. Step 3: Cross multiply
    181.80x = 271.26 × 180.18
  4. Step 4: Simplify right side
    181.80x = 48,875.63
  5. Step 5: Solve for x
    x = 48,875.63/181.80
  6. Step 6: Final answer
    x = 268.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.