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Finding the Fourth Proportional to 200.66, 302.04 and 181.80

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Solution

The fourth proportional to 200.66, 302.04 and 181.80 is: 273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.66 : 302.04 = 181.80 : x
  2. Step 2: Convert to fraction form
    200.66/302.04 = 181.80/x
  3. Step 3: Cross multiply
    200.66x = 302.04 × 181.80
  4. Step 4: Simplify right side
    200.66x = 54,910.87
  5. Step 5: Solve for x
    x = 54,910.87/200.66
  6. Step 6: Final answer
    x = 273.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.