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Finding the Fourth Proportional to 201.48, 302.22 and 120.30

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Solution

The fourth proportional to 201.48, 302.22 and 120.30 is: 180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.48 : 302.22 = 120.30 : x
  2. Step 2: Convert to fraction form
    201.48/302.22 = 120.30/x
  3. Step 3: Cross multiply
    201.48x = 302.22 × 120.30
  4. Step 4: Simplify right side
    201.48x = 36,357.07
  5. Step 5: Solve for x
    x = 36,357.07/201.48
  6. Step 6: Final answer
    x = 180.45

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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.