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Finding the Fourth Proportional to 155.32, 231.43 and 146

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Solution

The fourth proportional to 155.32, 231.43 and 146 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.32 : 231.43 = 146 : x
  2. Step 2: Convert to fraction form
    155.32/231.43 = 146/x
  3. Step 3: Cross multiply
    155.32x = 231.43 × 146
  4. Step 4: Simplify right side
    155.32x = 33,788.78
  5. Step 5: Solve for x
    x = 33,788.78/155.32
  6. Step 6: Final answer
    x = 217.54

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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.