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Finding the Fourth Proportional to 201.60, 302.01 and 180.15

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Solution

The fourth proportional to 201.60, 302.01 and 180.15 is: 269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 302.01 = 180.15 : x
  2. Step 2: Convert to fraction form
    201.60/302.01 = 180.15/x
  3. Step 3: Cross multiply
    201.60x = 302.01 × 180.15
  4. Step 4: Simplify right side
    201.60x = 54,407.10
  5. Step 5: Solve for x
    x = 54,407.10/201.60
  6. Step 6: Final answer
    x = 269.88

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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.