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Finding the Fourth Proportional to 175.87, 263.58 and 78.37

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Solution

The fourth proportional to 175.87, 263.58 and 78.37 is: 117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.87 : 263.58 = 78.37 : x
  2. Step 2: Convert to fraction form
    175.87/263.58 = 78.37/x
  3. Step 3: Cross multiply
    175.87x = 263.58 × 78.37
  4. Step 4: Simplify right side
    175.87x = 20,656.03
  5. Step 5: Solve for x
    x = 20,656.03/175.87
  6. Step 6: Final answer
    x = 117.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.