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Finding the Fourth Proportional to 289.66, 434.64 and 166.36

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Solution

The fourth proportional to 289.66, 434.64 and 166.36 is: 249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.66 : 434.64 = 166.36 : x
  2. Step 2: Convert to fraction form
    289.66/434.64 = 166.36/x
  3. Step 3: Cross multiply
    289.66x = 434.64 × 166.36
  4. Step 4: Simplify right side
    289.66x = 72,306.71
  5. Step 5: Solve for x
    x = 72,306.71/289.66
  6. Step 6: Final answer
    x = 249.63

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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.