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Finding the Fourth Proportional to 289.84, 434.32 and 168.16

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Solution

The fourth proportional to 289.84, 434.32 and 168.16 is: 251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.84 : 434.32 = 168.16 : x
  2. Step 2: Convert to fraction form
    289.84/434.32 = 168.16/x
  3. Step 3: Cross multiply
    289.84x = 434.32 × 168.16
  4. Step 4: Simplify right side
    289.84x = 73,035.25
  5. Step 5: Solve for x
    x = 73,035.25/289.84
  6. Step 6: Final answer
    x = 251.98

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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.