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Finding the Fourth Proportional to 289.50, 434.50 and 191.72

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Solution

The fourth proportional to 289.50, 434.50 and 191.72 is: 287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 434.50 = 191.72 : x
  2. Step 2: Convert to fraction form
    289.50/434.50 = 191.72/x
  3. Step 3: Cross multiply
    289.50x = 434.50 × 191.72
  4. Step 4: Simplify right side
    289.50x = 83,302.34
  5. Step 5: Solve for x
    x = 83,302.34/289.50
  6. Step 6: Final answer
    x = 287.75

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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.