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Finding the Fourth Proportional to 496.66, 745.26 and 188.72

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Solution

The fourth proportional to 496.66, 745.26 and 188.72 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.66 : 745.26 = 188.72 : x
  2. Step 2: Convert to fraction form
    496.66/745.26 = 188.72/x
  3. Step 3: Cross multiply
    496.66x = 745.26 × 188.72
  4. Step 4: Simplify right side
    496.66x = 140,645.47
  5. Step 5: Solve for x
    x = 140,645.47/496.66
  6. Step 6: Final answer
    x = 283.18

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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.