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Finding the Fourth Proportional to 254.66, 381.86 and 117.80

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Solution

The fourth proportional to 254.66, 381.86 and 117.80 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.66 : 381.86 = 117.80 : x
  2. Step 2: Convert to fraction form
    254.66/381.86 = 117.80/x
  3. Step 3: Cross multiply
    254.66x = 381.86 × 117.80
  4. Step 4: Simplify right side
    254.66x = 44,982.48
  5. Step 5: Solve for x
    x = 44,982.48/254.66
  6. Step 6: Final answer
    x = 176.64

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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.