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Finding the Fourth Proportional to 254.07, 380.75 and 116.78

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Solution

The fourth proportional to 254.07, 380.75 and 116.78 is: 175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.07 : 380.75 = 116.78 : x
  2. Step 2: Convert to fraction form
    254.07/380.75 = 116.78/x
  3. Step 3: Cross multiply
    254.07x = 380.75 × 116.78
  4. Step 4: Simplify right side
    254.07x = 44,461.50
  5. Step 5: Solve for x
    x = 44,461.50/254.07
  6. Step 6: Final answer
    x = 175.00

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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.