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Finding the Fourth Proportional to 456.16, 684.24 and 131.52

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Solution

The fourth proportional to 456.16, 684.24 and 131.52 is: 197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.16 : 684.24 = 131.52 : x
  2. Step 2: Convert to fraction form
    456.16/684.24 = 131.52/x
  3. Step 3: Cross multiply
    456.16x = 684.24 × 131.52
  4. Step 4: Simplify right side
    456.16x = 89,991.24
  5. Step 5: Solve for x
    x = 89,991.24/456.16
  6. Step 6: Final answer
    x = 197.28

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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.