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Finding the Fourth Proportional to 333.57, 460.33 and 186.22

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Solution

The fourth proportional to 333.57, 460.33 and 186.22 is: 256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.57 : 460.33 = 186.22 : x
  2. Step 2: Convert to fraction form
    333.57/460.33 = 186.22/x
  3. Step 3: Cross multiply
    333.57x = 460.33 × 186.22
  4. Step 4: Simplify right side
    333.57x = 85,722.65
  5. Step 5: Solve for x
    x = 85,722.65/333.57
  6. Step 6: Final answer
    x = 256.99

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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.