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Finding the Fourth Proportional to 255.29, 382.05 and 146.75

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Solution

The fourth proportional to 255.29, 382.05 and 146.75 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.29 : 382.05 = 146.75 : x
  2. Step 2: Convert to fraction form
    255.29/382.05 = 146.75/x
  3. Step 3: Cross multiply
    255.29x = 382.05 × 146.75
  4. Step 4: Simplify right side
    255.29x = 56,063.93
  5. Step 5: Solve for x
    x = 56,063.93/255.29
  6. Step 6: Final answer
    x = 219.61

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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.