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Finding the Fourth Proportional to 275.35, 412.35 and 159.52

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Solution

The fourth proportional to 275.35, 412.35 and 159.52 is: 238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.35 : 412.35 = 159.52 : x
  2. Step 2: Convert to fraction form
    275.35/412.35 = 159.52/x
  3. Step 3: Cross multiply
    275.35x = 412.35 × 159.52
  4. Step 4: Simplify right side
    275.35x = 65,778.07
  5. Step 5: Solve for x
    x = 65,778.07/275.35
  6. Step 6: Final answer
    x = 238.89

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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.