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Finding the Fourth Proportional to 275.84, 414.32 and 167.84

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Solution

The fourth proportional to 275.84, 414.32 and 167.84 is: 252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 414.32 = 167.84 : x
  2. Step 2: Convert to fraction form
    275.84/414.32 = 167.84/x
  3. Step 3: Cross multiply
    275.84x = 414.32 × 167.84
  4. Step 4: Simplify right side
    275.84x = 69,539.47
  5. Step 5: Solve for x
    x = 69,539.47/275.84
  6. Step 6: Final answer
    x = 252.10

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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.