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Finding the Fourth Proportional to 289.70, 434.58 and 185.66

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Solution

The fourth proportional to 289.70, 434.58 and 185.66 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.70 : 434.58 = 185.66 : x
  2. Step 2: Convert to fraction form
    289.70/434.58 = 185.66/x
  3. Step 3: Cross multiply
    289.70x = 434.58 × 185.66
  4. Step 4: Simplify right side
    289.70x = 80,684.12
  5. Step 5: Solve for x
    x = 80,684.12/289.70
  6. Step 6: Final answer
    x = 278.51

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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.