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Finding the Fourth Proportional to 201.65, 302.49 and 115.07

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Solution

The fourth proportional to 201.65, 302.49 and 115.07 is: 172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.65 : 302.49 = 115.07 : x
  2. Step 2: Convert to fraction form
    201.65/302.49 = 115.07/x
  3. Step 3: Cross multiply
    201.65x = 302.49 × 115.07
  4. Step 4: Simplify right side
    201.65x = 34,806.01
  5. Step 5: Solve for x
    x = 34,806.01/201.65
  6. Step 6: Final answer
    x = 172.61

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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.