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Finding the Fourth Proportional to 651.26, 976.82 and 189.02

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Solution

The fourth proportional to 651.26, 976.82 and 189.02 is: 283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.26 : 976.82 = 189.02 : x
  2. Step 2: Convert to fraction form
    651.26/976.82 = 189.02/x
  3. Step 3: Cross multiply
    651.26x = 976.82 × 189.02
  4. Step 4: Simplify right side
    651.26x = 184,632.69
  5. Step 5: Solve for x
    x = 184,632.69/651.26
  6. Step 6: Final answer
    x = 283.50

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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.