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Finding the Fourth Proportional to 200.10, 299.34 and 146.10

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Solution

The fourth proportional to 200.10, 299.34 and 146.10 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.10 : 299.34 = 146.10 : x
  2. Step 2: Convert to fraction form
    200.10/299.34 = 146.10/x
  3. Step 3: Cross multiply
    200.10x = 299.34 × 146.10
  4. Step 4: Simplify right side
    200.10x = 43,733.57
  5. Step 5: Solve for x
    x = 43,733.57/200.10
  6. Step 6: Final answer
    x = 218.56

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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.