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Finding the Fourth Proportional to 303.72, 454.84 and 175.20

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Solution

The fourth proportional to 303.72, 454.84 and 175.20 is: 262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 454.84 = 175.20 : x
  2. Step 2: Convert to fraction form
    303.72/454.84 = 175.20/x
  3. Step 3: Cross multiply
    303.72x = 454.84 × 175.20
  4. Step 4: Simplify right side
    303.72x = 79,687.97
  5. Step 5: Solve for x
    x = 79,687.97/303.72
  6. Step 6: Final answer
    x = 262.37

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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.