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Finding the Fourth Proportional to 201.85, 302.38 and 180.40

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Solution

The fourth proportional to 201.85, 302.38 and 180.40 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.85 : 302.38 = 180.40 : x
  2. Step 2: Convert to fraction form
    201.85/302.38 = 180.40/x
  3. Step 3: Cross multiply
    201.85x = 302.38 × 180.40
  4. Step 4: Simplify right side
    201.85x = 54,549.35
  5. Step 5: Solve for x
    x = 54,549.35/201.85
  6. Step 6: Final answer
    x = 270.25

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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.