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Finding the Fourth Proportional to 175.60, 263.60 and 94.44

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Solution

The fourth proportional to 175.60, 263.60 and 94.44 is: 141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.60 : 263.60 = 94.44 : x
  2. Step 2: Convert to fraction form
    175.60/263.60 = 94.44/x
  3. Step 3: Cross multiply
    175.60x = 263.60 × 94.44
  4. Step 4: Simplify right side
    175.60x = 24,894.38
  5. Step 5: Solve for x
    x = 24,894.38/175.60
  6. Step 6: Final answer
    x = 141.77

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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.