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Finding the Fourth Proportional to 155.10, 231.63 and 132.32

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Solution

The fourth proportional to 155.10, 231.63 and 132.32 is: 197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.10 : 231.63 = 132.32 : x
  2. Step 2: Convert to fraction form
    155.10/231.63 = 132.32/x
  3. Step 3: Cross multiply
    155.10x = 231.63 × 132.32
  4. Step 4: Simplify right side
    155.10x = 30,649.28
  5. Step 5: Solve for x
    x = 30,649.28/155.10
  6. Step 6: Final answer
    x = 197.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.