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Finding the Fourth Proportional to 175.99, 263.90 and 54.22

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Solution

The fourth proportional to 175.99, 263.90 and 54.22 is: 81.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.99 : 263.90 = 54.22 : x
  2. Step 2: Convert to fraction form
    175.99/263.90 = 54.22/x
  3. Step 3: Cross multiply
    175.99x = 263.90 × 54.22
  4. Step 4: Simplify right side
    175.99x = 14,307.07
  5. Step 5: Solve for x
    x = 14,307.07/175.99
  6. Step 6: Final answer
    x = 81.30

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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.