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Finding the Fourth Proportional to 461.92, 693.00 and 188.20

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Solution

The fourth proportional to 461.92, 693.00 and 188.20 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.92 : 693.00 = 188.20 : x
  2. Step 2: Convert to fraction form
    461.92/693.00 = 188.20/x
  3. Step 3: Cross multiply
    461.92x = 693.00 × 188.20
  4. Step 4: Simplify right side
    461.92x = 130,418.19
  5. Step 5: Solve for x
    x = 130,418.19/461.92
  6. Step 6: Final answer
    x = 282.34

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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.