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Finding the Fourth Proportional to 497.15, 745.71 and 188.98

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Solution

The fourth proportional to 497.15, 745.71 and 188.98 is: 283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.15 : 745.71 = 188.98 : x
  2. Step 2: Convert to fraction form
    497.15/745.71 = 188.98/x
  3. Step 3: Cross multiply
    497.15x = 745.71 × 188.98
  4. Step 4: Simplify right side
    497.15x = 140,923.33
  5. Step 5: Solve for x
    x = 140,923.33/497.15
  6. Step 6: Final answer
    x = 283.46

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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.