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Finding the Fourth Proportional to 254.50, 381.85 and 117.44

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Solution

The fourth proportional to 254.50, 381.85 and 117.44 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 381.85 = 117.44 : x
  2. Step 2: Convert to fraction form
    254.50/381.85 = 117.44/x
  3. Step 3: Cross multiply
    254.50x = 381.85 × 117.44
  4. Step 4: Simplify right side
    254.50x = 44,844.46
  5. Step 5: Solve for x
    x = 44,844.46/254.50
  6. Step 6: Final answer
    x = 176.21

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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.