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Finding the Fourth Proportional to 201.51, 302.00 and 110.25

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Solution

The fourth proportional to 201.51, 302.00 and 110.25 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.51 : 302.00 = 110.25 : x
  2. Step 2: Convert to fraction form
    201.51/302.00 = 110.25/x
  3. Step 3: Cross multiply
    201.51x = 302.00 × 110.25
  4. Step 4: Simplify right side
    201.51x = 33,294.95
  5. Step 5: Solve for x
    x = 33,294.95/201.51
  6. Step 6: Final answer
    x = 165.23

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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.