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Finding the Fourth Proportional to 175.53, 242.36 and 140.75

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Solution

The fourth proportional to 175.53, 242.36 and 140.75 is: 194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.53 : 242.36 = 140.75 : x
  2. Step 2: Convert to fraction form
    175.53/242.36 = 140.75/x
  3. Step 3: Cross multiply
    175.53x = 242.36 × 140.75
  4. Step 4: Simplify right side
    175.53x = 34,110.25
  5. Step 5: Solve for x
    x = 34,110.25/175.53
  6. Step 6: Final answer
    x = 194.33

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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.