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Finding the Fourth Proportional to 200.40, 300.54 and 160.29

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Solution

The fourth proportional to 200.40, 300.54 and 160.29 is: 240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.40 : 300.54 = 160.29 : x
  2. Step 2: Convert to fraction form
    200.40/300.54 = 160.29/x
  3. Step 3: Cross multiply
    200.40x = 300.54 × 160.29
  4. Step 4: Simplify right side
    200.40x = 48,173.56
  5. Step 5: Solve for x
    x = 48,173.56/200.40
  6. Step 6: Final answer
    x = 240.39

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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.