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Finding the Fourth Proportional to 201.93, 302.57 and 178.84

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Solution

The fourth proportional to 201.93, 302.57 and 178.84 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.93 : 302.57 = 178.84 : x
  2. Step 2: Convert to fraction form
    201.93/302.57 = 178.84/x
  3. Step 3: Cross multiply
    201.93x = 302.57 × 178.84
  4. Step 4: Simplify right side
    201.93x = 54,111.62
  5. Step 5: Solve for x
    x = 54,111.62/201.93
  6. Step 6: Final answer
    x = 267.97

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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.