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Finding the Fourth Proportional to 201.65, 302.24 and 86.02

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Solution

The fourth proportional to 201.65, 302.24 and 86.02 is: 128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.65 : 302.24 = 86.02 : x
  2. Step 2: Convert to fraction form
    201.65/302.24 = 86.02/x
  3. Step 3: Cross multiply
    201.65x = 302.24 × 86.02
  4. Step 4: Simplify right side
    201.65x = 25,997.50
  5. Step 5: Solve for x
    x = 25,997.50/201.65
  6. Step 6: Final answer
    x = 128.93

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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.