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Finding the Fourth Proportional to 289.02, 433.53 and 180.57

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Solution

The fourth proportional to 289.02, 433.53 and 180.57 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 433.53 = 180.57 : x
  2. Step 2: Convert to fraction form
    289.02/433.53 = 180.57/x
  3. Step 3: Cross multiply
    289.02x = 433.53 × 180.57
  4. Step 4: Simplify right side
    289.02x = 78,282.51
  5. Step 5: Solve for x
    x = 78,282.51/289.02
  6. Step 6: Final answer
    x = 270.86

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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.