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Finding the Fourth Proportional to 253.36, 382.25 and 252.69

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Solution

The fourth proportional to 253.36, 382.25 and 252.69 is: 381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.36 : 382.25 = 252.69 : x
  2. Step 2: Convert to fraction form
    253.36/382.25 = 252.69/x
  3. Step 3: Cross multiply
    253.36x = 382.25 × 252.69
  4. Step 4: Simplify right side
    253.36x = 96,590.75
  5. Step 5: Solve for x
    x = 96,590.75/253.36
  6. Step 6: Final answer
    x = 381.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.