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Finding the Fourth Proportional to 289.53, 433.74 and 148.41

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Solution

The fourth proportional to 289.53, 433.74 and 148.41 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 433.74 = 148.41 : x
  2. Step 2: Convert to fraction form
    289.53/433.74 = 148.41/x
  3. Step 3: Cross multiply
    289.53x = 433.74 × 148.41
  4. Step 4: Simplify right side
    289.53x = 64,371.35
  5. Step 5: Solve for x
    x = 64,371.35/289.53
  6. Step 6: Final answer
    x = 222.33

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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.