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Finding the Fourth Proportional to 651.33, 976.85 and 189

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Solution

The fourth proportional to 651.33, 976.85 and 189 is: 283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.33 : 976.85 = 189 : x
  2. Step 2: Convert to fraction form
    651.33/976.85 = 189/x
  3. Step 3: Cross multiply
    651.33x = 976.85 × 189
  4. Step 4: Simplify right side
    651.33x = 184,623.71
  5. Step 5: Solve for x
    x = 184,623.71/651.33
  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.