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Finding the Fourth Proportional to 289.23, 433.47 and 142.89

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Solution

The fourth proportional to 289.23, 433.47 and 142.89 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.23 : 433.47 = 142.89 : x
  2. Step 2: Convert to fraction form
    289.23/433.47 = 142.89/x
  3. Step 3: Cross multiply
    289.23x = 433.47 × 142.89
  4. Step 4: Simplify right side
    289.23x = 61,938.53
  5. Step 5: Solve for x
    x = 61,938.53/289.23
  6. Step 6: Final answer
    x = 214.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.