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Finding the Fourth Proportional to 201.38, 302.14 and 64.45

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Solution

The fourth proportional to 201.38, 302.14 and 64.45 is: 96.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.38 : 302.14 = 64.45 : x
  2. Step 2: Convert to fraction form
    201.38/302.14 = 64.45/x
  3. Step 3: Cross multiply
    201.38x = 302.14 × 64.45
  4. Step 4: Simplify right side
    201.38x = 19,471.25
  5. Step 5: Solve for x
    x = 19,471.25/201.38
  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.