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Finding the Fourth Proportional to 226.33, 339.45 and 64.01

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Solution

The fourth proportional to 226.33, 339.45 and 64.01 is: 96.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.33 : 339.45 = 64.01 : x
  2. Step 2: Convert to fraction form
    226.33/339.45 = 64.01/x
  3. Step 3: Cross multiply
    226.33x = 339.45 × 64.01
  4. Step 4: Simplify right side
    226.33x = 21,728.19
  5. Step 5: Solve for x
    x = 21,728.19/226.33
  6. Step 6: Final answer
    x = 96.00

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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.