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Finding the Fourth Proportional to 175.99, 242.88 and 132.25

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Solution

The fourth proportional to 175.99, 242.88 and 132.25 is: 182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.99 : 242.88 = 132.25 : x
  2. Step 2: Convert to fraction form
    175.99/242.88 = 132.25/x
  3. Step 3: Cross multiply
    175.99x = 242.88 × 132.25
  4. Step 4: Simplify right side
    175.99x = 32,120.60
  5. Step 5: Solve for x
    x = 32,120.60/175.99
  6. Step 6: Final answer
    x = 182.52

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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.