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Finding the Fourth Proportional to 456.28, 684.47 and 131.70

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Solution

The fourth proportional to 456.28, 684.47 and 131.70 is: 197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.28 : 684.47 = 131.70 : x
  2. Step 2: Convert to fraction form
    456.28/684.47 = 131.70/x
  3. Step 3: Cross multiply
    456.28x = 684.47 × 131.70
  4. Step 4: Simplify right side
    456.28x = 90,144.70
  5. Step 5: Solve for x
    x = 90,144.70/456.28
  6. Step 6: Final answer
    x = 197.56

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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.