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Finding the Fourth Proportional to 175.89, 263.84 and 78.36

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Solution

The fourth proportional to 175.89, 263.84 and 78.36 is: 117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.89 : 263.84 = 78.36 : x
  2. Step 2: Convert to fraction form
    175.89/263.84 = 78.36/x
  3. Step 3: Cross multiply
    175.89x = 263.84 × 78.36
  4. Step 4: Simplify right side
    175.89x = 20,674.50
  5. Step 5: Solve for x
    x = 20,674.50/175.89
  6. Step 6: Final answer
    x = 117.54

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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.