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Finding the Fourth Proportional to 254.34, 381.31 and 100.24

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Solution

The fourth proportional to 254.34, 381.31 and 100.24 is: 150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 381.31 = 100.24 : x
  2. Step 2: Convert to fraction form
    254.34/381.31 = 100.24/x
  3. Step 3: Cross multiply
    254.34x = 381.31 × 100.24
  4. Step 4: Simplify right side
    254.34x = 38,222.51
  5. Step 5: Solve for x
    x = 38,222.51/254.34
  6. Step 6: Final answer
    x = 150.28

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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.