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Finding the Fourth Proportional to 200.84, 301.37 and 109.53

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Solution

The fourth proportional to 200.84, 301.37 and 109.53 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 301.37 = 109.53 : x
  2. Step 2: Convert to fraction form
    200.84/301.37 = 109.53/x
  3. Step 3: Cross multiply
    200.84x = 301.37 × 109.53
  4. Step 4: Simplify right side
    200.84x = 33,008.51
  5. Step 5: Solve for x
    x = 33,008.51/200.84
  6. Step 6: Final answer
    x = 164.36

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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.