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Finding the Fourth Proportional to 201.89, 302.74 and 125.01

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Solution

The fourth proportional to 201.89, 302.74 and 125.01 is: 187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 302.74 = 125.01 : x
  2. Step 2: Convert to fraction form
    201.89/302.74 = 125.01/x
  3. Step 3: Cross multiply
    201.89x = 302.74 × 125.01
  4. Step 4: Simplify right side
    201.89x = 37,845.21
  5. Step 5: Solve for x
    x = 37,845.21/201.89
  6. Step 6: Final answer
    x = 187.45

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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.