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Finding the Fourth Proportional to 200.99, 301.53 and 109.77

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Solution

The fourth proportional to 200.99, 301.53 and 109.77 is: 164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.99 : 301.53 = 109.77 : x
  2. Step 2: Convert to fraction form
    200.99/301.53 = 109.77/x
  3. Step 3: Cross multiply
    200.99x = 301.53 × 109.77
  4. Step 4: Simplify right side
    200.99x = 33,098.95
  5. Step 5: Solve for x
    x = 33,098.95/200.99
  6. Step 6: Final answer
    x = 164.68

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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.