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Finding the Fourth Proportional to 289.48, 434.97 and 167.83

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Solution

The fourth proportional to 289.48, 434.97 and 167.83 is: 252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.48 : 434.97 = 167.83 : x
  2. Step 2: Convert to fraction form
    289.48/434.97 = 167.83/x
  3. Step 3: Cross multiply
    289.48x = 434.97 × 167.83
  4. Step 4: Simplify right side
    289.48x = 73,001.02
  5. Step 5: Solve for x
    x = 73,001.02/289.48
  6. Step 6: Final answer
    x = 252.18

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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.