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Finding the Fourth Proportional to 289, 433.50 and 96.64

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Solution

The fourth proportional to 289, 433.50 and 96.64 is: 144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 433.50 = 96.64 : x
  2. Step 2: Convert to fraction form
    289/433.50 = 96.64/x
  3. Step 3: Cross multiply
    289x = 433.50 × 96.64
  4. Step 4: Simplify right side
    289x = 41,893.44
  5. Step 5: Solve for x
    x = 41,893.44/289
  6. Step 6: Final answer
    x = 144.96

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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.