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Finding the Fourth Proportional to 289.06, 433.42 and 135.08

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Solution

The fourth proportional to 289.06, 433.42 and 135.08 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.06 : 433.42 = 135.08 : x
  2. Step 2: Convert to fraction form
    289.06/433.42 = 135.08/x
  3. Step 3: Cross multiply
    289.06x = 433.42 × 135.08
  4. Step 4: Simplify right side
    289.06x = 58,545.49
  5. Step 5: Solve for x
    x = 58,545.49/289.06
  6. Step 6: Final answer
    x = 202.54

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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.