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Finding the Fourth Proportional to 270.98, 405.82 and 155.07

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Solution

The fourth proportional to 270.98, 405.82 and 155.07 is: 232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 405.82 = 155.07 : x
  2. Step 2: Convert to fraction form
    270.98/405.82 = 155.07/x
  3. Step 3: Cross multiply
    270.98x = 405.82 × 155.07
  4. Step 4: Simplify right side
    270.98x = 62,929.73
  5. Step 5: Solve for x
    x = 62,929.73/270.98
  6. Step 6: Final answer
    x = 232.23

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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.