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Finding the Fourth Proportional to 299.17, 412.59 and 205.93

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Solution

The fourth proportional to 299.17, 412.59 and 205.93 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.17 : 412.59 = 205.93 : x
  2. Step 2: Convert to fraction form
    299.17/412.59 = 205.93/x
  3. Step 3: Cross multiply
    299.17x = 412.59 × 205.93
  4. Step 4: Simplify right side
    299.17x = 84,964.66
  5. Step 5: Solve for x
    x = 84,964.66/299.17
  6. Step 6: Final answer
    x = 284.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.