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Finding the Fourth Proportional to 289.46, 434.04 and 166.04

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Solution

The fourth proportional to 289.46, 434.04 and 166.04 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.46 : 434.04 = 166.04 : x
  2. Step 2: Convert to fraction form
    289.46/434.04 = 166.04/x
  3. Step 3: Cross multiply
    289.46x = 434.04 × 166.04
  4. Step 4: Simplify right side
    289.46x = 72,068.00
  5. Step 5: Solve for x
    x = 72,068.00/289.46
  6. Step 6: Final answer
    x = 248.97

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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.