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Finding the Fourth Proportional to 289.59, 433.63 and 167.64

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Solution

The fourth proportional to 289.59, 433.63 and 167.64 is: 251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.59 : 433.63 = 167.64 : x
  2. Step 2: Convert to fraction form
    289.59/433.63 = 167.64/x
  3. Step 3: Cross multiply
    289.59x = 433.63 × 167.64
  4. Step 4: Simplify right side
    289.59x = 72,693.73
  5. Step 5: Solve for x
    x = 72,693.73/289.59
  6. Step 6: Final answer
    x = 251.02

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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.