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Finding the Fourth Proportional to 200.99, 301.51 and 98.32

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Solution

The fourth proportional to 200.99, 301.51 and 98.32 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.99 : 301.51 = 98.32 : x
  2. Step 2: Convert to fraction form
    200.99/301.51 = 98.32/x
  3. Step 3: Cross multiply
    200.99x = 301.51 × 98.32
  4. Step 4: Simplify right side
    200.99x = 29,644.46
  5. Step 5: Solve for x
    x = 29,644.46/200.99
  6. Step 6: Final answer
    x = 147.49

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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.