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Finding the Fourth Proportional to 255.02, 381.99 and 146.30

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Solution

The fourth proportional to 255.02, 381.99 and 146.30 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.02 : 381.99 = 146.30 : x
  2. Step 2: Convert to fraction form
    255.02/381.99 = 146.30/x
  3. Step 3: Cross multiply
    255.02x = 381.99 × 146.30
  4. Step 4: Simplify right side
    255.02x = 55,885.14
  5. Step 5: Solve for x
    x = 55,885.14/255.02
  6. Step 6: Final answer
    x = 219.14

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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.