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Finding the Fourth Proportional to 294.99, 407.07 and 164.00

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Solution

The fourth proportional to 294.99, 407.07 and 164.00 is: 226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.99 : 407.07 = 164.00 : x
  2. Step 2: Convert to fraction form
    294.99/407.07 = 164.00/x
  3. Step 3: Cross multiply
    294.99x = 407.07 × 164.00
  4. Step 4: Simplify right side
    294.99x = 66,757.44
  5. Step 5: Solve for x
    x = 66,757.44/294.99
  6. Step 6: Final answer
    x = 226.30

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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.