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Finding the Fourth Proportional to 175.36, 263 and 53.60

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Solution

The fourth proportional to 175.36, 263 and 53.60 is: 80.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.36 : 263 = 53.60 : x
  2. Step 2: Convert to fraction form
    175.36/263 = 53.60/x
  3. Step 3: Cross multiply
    175.36x = 263 × 53.60
  4. Step 4: Simplify right side
    175.36x = 14,096.80
  5. Step 5: Solve for x
    x = 14,096.80/175.36
  6. Step 6: Final answer
    x = 80.39

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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.