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Finding the Fourth Proportional to 375.98, 563.71 and 144.68

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Solution

The fourth proportional to 375.98, 563.71 and 144.68 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.98 : 563.71 = 144.68 : x
  2. Step 2: Convert to fraction form
    375.98/563.71 = 144.68/x
  3. Step 3: Cross multiply
    375.98x = 563.71 × 144.68
  4. Step 4: Simplify right side
    375.98x = 81,554.38
  5. Step 5: Solve for x
    x = 81,554.38/375.98
  6. Step 6: Final answer
    x = 216.91

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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.