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Finding the Fourth Proportional to 201.44, 302.10 and 64.47

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Solution

The fourth proportional to 201.44, 302.10 and 64.47 is: 96.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.44 : 302.10 = 64.47 : x
  2. Step 2: Convert to fraction form
    201.44/302.10 = 64.47/x
  3. Step 3: Cross multiply
    201.44x = 302.10 × 64.47
  4. Step 4: Simplify right side
    201.44x = 19,476.97
  5. Step 5: Solve for x
    x = 19,476.97/201.44
  6. Step 6: Final answer
    x = 96.69

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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.