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Finding the Fourth Proportional to 203.53, 304.93 and 180.94

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Solution

The fourth proportional to 203.53, 304.93 and 180.94 is: 271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.53 : 304.93 = 180.94 : x
  2. Step 2: Convert to fraction form
    203.53/304.93 = 180.94/x
  3. Step 3: Cross multiply
    203.53x = 304.93 × 180.94
  4. Step 4: Simplify right side
    203.53x = 55,174.03
  5. Step 5: Solve for x
    x = 55,174.03/203.53
  6. Step 6: Final answer
    x = 271.09

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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.