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Finding the Fourth Proportional to 651.57, 977.31 and 189.33

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Solution

The fourth proportional to 651.57, 977.31 and 189.33 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.57 : 977.31 = 189.33 : x
  2. Step 2: Convert to fraction form
    651.57/977.31 = 189.33/x
  3. Step 3: Cross multiply
    651.57x = 977.31 × 189.33
  4. Step 4: Simplify right side
    651.57x = 185,034.10
  5. Step 5: Solve for x
    x = 185,034.10/651.57
  6. Step 6: Final answer
    x = 283.98

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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.