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Finding the Fourth Proportional to 303.77, 455.58 and 121.11

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Solution

The fourth proportional to 303.77, 455.58 and 121.11 is: 181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.77 : 455.58 = 121.11 : x
  2. Step 2: Convert to fraction form
    303.77/455.58 = 121.11/x
  3. Step 3: Cross multiply
    303.77x = 455.58 × 121.11
  4. Step 4: Simplify right side
    303.77x = 55,175.29
  5. Step 5: Solve for x
    x = 55,175.29/303.77
  6. Step 6: Final answer
    x = 181.64

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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.