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Finding the Fourth Proportional to 255.98, 384.13 and 147.98

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Solution

The fourth proportional to 255.98, 384.13 and 147.98 is: 222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 384.13 = 147.98 : x
  2. Step 2: Convert to fraction form
    255.98/384.13 = 147.98/x
  3. Step 3: Cross multiply
    255.98x = 384.13 × 147.98
  4. Step 4: Simplify right side
    255.98x = 56,843.56
  5. Step 5: Solve for x
    x = 56,843.56/255.98
  6. Step 6: Final answer
    x = 222.06

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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.