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Finding the Fourth Proportional to 663.96, 995.86 and 177.04

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Solution

The fourth proportional to 663.96, 995.86 and 177.04 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 995.86 = 177.04 : x
  2. Step 2: Convert to fraction form
    663.96/995.86 = 177.04/x
  3. Step 3: Cross multiply
    663.96x = 995.86 × 177.04
  4. Step 4: Simplify right side
    663.96x = 176,307.05
  5. Step 5: Solve for x
    x = 176,307.05/663.96
  6. Step 6: Final answer
    x = 265.54

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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.