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Finding the Fourth Proportional to 185.88, 257.58 and 183.54

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Solution

The fourth proportional to 185.88, 257.58 and 183.54 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 257.58 = 183.54 : x
  2. Step 2: Convert to fraction form
    185.88/257.58 = 183.54/x
  3. Step 3: Cross multiply
    185.88x = 257.58 × 183.54
  4. Step 4: Simplify right side
    185.88x = 47,276.23
  5. Step 5: Solve for x
    x = 47,276.23/185.88
  6. Step 6: Final answer
    x = 254.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.