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Finding the Fourth Proportional to 202.48, 303.80 and 117.04

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Solution

The fourth proportional to 202.48, 303.80 and 117.04 is: 175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.48 : 303.80 = 117.04 : x
  2. Step 2: Convert to fraction form
    202.48/303.80 = 117.04/x
  3. Step 3: Cross multiply
    202.48x = 303.80 × 117.04
  4. Step 4: Simplify right side
    202.48x = 35,556.75
  5. Step 5: Solve for x
    x = 35,556.75/202.48
  6. Step 6: Final answer
    x = 175.61

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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.