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Finding the Fourth Proportional to 185.58, 254.64 and 175.26

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Solution

The fourth proportional to 185.58, 254.64 and 175.26 is: 240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.58 : 254.64 = 175.26 : x
  2. Step 2: Convert to fraction form
    185.58/254.64 = 175.26/x
  3. Step 3: Cross multiply
    185.58x = 254.64 × 175.26
  4. Step 4: Simplify right side
    185.58x = 44,628.21
  5. Step 5: Solve for x
    x = 44,628.21/185.58
  6. Step 6: Final answer
    x = 240.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.