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Finding the Fourth Proportional to 201.64, 302.42 and 73.40

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Solution

The fourth proportional to 201.64, 302.42 and 73.40 is: 110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.64 : 302.42 = 73.40 : x
  2. Step 2: Convert to fraction form
    201.64/302.42 = 73.40/x
  3. Step 3: Cross multiply
    201.64x = 302.42 × 73.40
  4. Step 4: Simplify right side
    201.64x = 22,197.63
  5. Step 5: Solve for x
    x = 22,197.63/201.64
  6. Step 6: Final answer
    x = 110.09

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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.