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Finding the Fourth Proportional to 200.60, 299.54 and 189.21

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Solution

The fourth proportional to 200.60, 299.54 and 189.21 is: 282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.60 : 299.54 = 189.21 : x
  2. Step 2: Convert to fraction form
    200.60/299.54 = 189.21/x
  3. Step 3: Cross multiply
    200.60x = 299.54 × 189.21
  4. Step 4: Simplify right side
    200.60x = 56,675.02
  5. Step 5: Solve for x
    x = 56,675.02/200.60
  6. Step 6: Final answer
    x = 282.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.