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Finding the Fourth Proportional to 456.27, 684.40 and 131.66

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Solution

The fourth proportional to 456.27, 684.40 and 131.66 is: 197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.27 : 684.40 = 131.66 : x
  2. Step 2: Convert to fraction form
    456.27/684.40 = 131.66/x
  3. Step 3: Cross multiply
    456.27x = 684.40 × 131.66
  4. Step 4: Simplify right side
    456.27x = 90,108.10
  5. Step 5: Solve for x
    x = 90,108.10/456.27
  6. Step 6: Final answer
    x = 197.49

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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.