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Finding the Fourth Proportional to 200.15, 299.40 and 193.13

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Solution

The fourth proportional to 200.15, 299.40 and 193.13 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.15 : 299.40 = 193.13 : x
  2. Step 2: Convert to fraction form
    200.15/299.40 = 193.13/x
  3. Step 3: Cross multiply
    200.15x = 299.40 × 193.13
  4. Step 4: Simplify right side
    200.15x = 57,821.63
  5. Step 5: Solve for x
    x = 57,821.63/200.15
  6. Step 6: Final answer
    x = 288.90

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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.