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Finding the Fourth Proportional to 304.48, 455.90 and 159.89

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Solution

The fourth proportional to 304.48, 455.90 and 159.89 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.48 : 455.90 = 159.89 : x
  2. Step 2: Convert to fraction form
    304.48/455.90 = 159.89/x
  3. Step 3: Cross multiply
    304.48x = 455.90 × 159.89
  4. Step 4: Simplify right side
    304.48x = 72,893.85
  5. Step 5: Solve for x
    x = 72,893.85/304.48
  6. Step 6: Final answer
    x = 239.41

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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.