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Finding the Fourth Proportional to 303.31, 455.03 and 97.89

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Solution

The fourth proportional to 303.31, 455.03 and 97.89 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.31 : 455.03 = 97.89 : x
  2. Step 2: Convert to fraction form
    303.31/455.03 = 97.89/x
  3. Step 3: Cross multiply
    303.31x = 455.03 × 97.89
  4. Step 4: Simplify right side
    303.31x = 44,542.89
  5. Step 5: Solve for x
    x = 44,542.89/303.31
  6. Step 6: Final answer
    x = 146.86

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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.