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Finding the Fourth Proportional to 254.20, 350.94 and 175.63

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Solution

The fourth proportional to 254.20, 350.94 and 175.63 is: 242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.20 : 350.94 = 175.63 : x
  2. Step 2: Convert to fraction form
    254.20/350.94 = 175.63/x
  3. Step 3: Cross multiply
    254.20x = 350.94 × 175.63
  4. Step 4: Simplify right side
    254.20x = 61,635.59
  5. Step 5: Solve for x
    x = 61,635.59/254.20
  6. Step 6: Final answer
    x = 242.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.