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Finding the Fourth Proportional to 258.12, 384.84 and 255.99

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Solution

The fourth proportional to 258.12, 384.84 and 255.99 is: 381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.12 : 384.84 = 255.99 : x
  2. Step 2: Convert to fraction form
    258.12/384.84 = 255.99/x
  3. Step 3: Cross multiply
    258.12x = 384.84 × 255.99
  4. Step 4: Simplify right side
    258.12x = 98,515.19
  5. Step 5: Solve for x
    x = 98,515.19/258.12
  6. Step 6: Final answer
    x = 381.66

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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.