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Finding the Fourth Proportional to 200.16, 299.95 and 97.33

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Solution

The fourth proportional to 200.16, 299.95 and 97.33 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 299.95 = 97.33 : x
  2. Step 2: Convert to fraction form
    200.16/299.95 = 97.33/x
  3. Step 3: Cross multiply
    200.16x = 299.95 × 97.33
  4. Step 4: Simplify right side
    200.16x = 29,194.26
  5. Step 5: Solve for x
    x = 29,194.26/200.16
  6. Step 6: Final answer
    x = 145.85

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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.