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Finding the Fourth Proportional to 289.92, 434.32 and 180

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Solution

The fourth proportional to 289.92, 434.32 and 180 is: 269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.92 : 434.32 = 180 : x
  2. Step 2: Convert to fraction form
    289.92/434.32 = 180/x
  3. Step 3: Cross multiply
    289.92x = 434.32 × 180
  4. Step 4: Simplify right side
    289.92x = 78,177.60
  5. Step 5: Solve for x
    x = 78,177.60/289.92
  6. Step 6: Final answer
    x = 269.65

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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.