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Finding the Fourth Proportional to 303.32, 455.01 and 110.93

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Solution

The fourth proportional to 303.32, 455.01 and 110.93 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.32 : 455.01 = 110.93 : x
  2. Step 2: Convert to fraction form
    303.32/455.01 = 110.93/x
  3. Step 3: Cross multiply
    303.32x = 455.01 × 110.93
  4. Step 4: Simplify right side
    303.32x = 50,474.26
  5. Step 5: Solve for x
    x = 50,474.26/303.32
  6. Step 6: Final answer
    x = 166.41

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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.