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Finding the Fourth Proportional to 175.87, 242.97 and 140.50

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Solution

The fourth proportional to 175.87, 242.97 and 140.50 is: 194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.87 : 242.97 = 140.50 : x
  2. Step 2: Convert to fraction form
    175.87/242.97 = 140.50/x
  3. Step 3: Cross multiply
    175.87x = 242.97 × 140.50
  4. Step 4: Simplify right side
    175.87x = 34,137.29
  5. Step 5: Solve for x
    x = 34,137.29/175.87
  6. Step 6: Final answer
    x = 194.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.