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Finding the Fourth Proportional to 253.89, 381.24 and 162.63

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Solution

The fourth proportional to 253.89, 381.24 and 162.63 is: 244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.89 : 381.24 = 162.63 : x
  2. Step 2: Convert to fraction form
    253.89/381.24 = 162.63/x
  3. Step 3: Cross multiply
    253.89x = 381.24 × 162.63
  4. Step 4: Simplify right side
    253.89x = 62,001.06
  5. Step 5: Solve for x
    x = 62,001.06/253.89
  6. Step 6: Final answer
    x = 244.20

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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.