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Finding the Fourth Proportional to 289.42, 433.96 and 135.14

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Solution

The fourth proportional to 289.42, 433.96 and 135.14 is: 202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 433.96 = 135.14 : x
  2. Step 2: Convert to fraction form
    289.42/433.96 = 135.14/x
  3. Step 3: Cross multiply
    289.42x = 433.96 × 135.14
  4. Step 4: Simplify right side
    289.42x = 58,645.35
  5. Step 5: Solve for x
    x = 58,645.35/289.42
  6. Step 6: Final answer
    x = 202.63

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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.