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Finding the Fourth Proportional to 303.80, 455.96 and 121.32

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Solution

The fourth proportional to 303.80, 455.96 and 121.32 is: 182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.80 : 455.96 = 121.32 : x
  2. Step 2: Convert to fraction form
    303.80/455.96 = 121.32/x
  3. Step 3: Cross multiply
    303.80x = 455.96 × 121.32
  4. Step 4: Simplify right side
    303.80x = 55,317.07
  5. Step 5: Solve for x
    x = 55,317.07/303.80
  6. Step 6: Final answer
    x = 182.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.