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Finding the Fourth Proportional to 284.70, 427.84 and 154.80

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Solution

The fourth proportional to 284.70, 427.84 and 154.80 is: 232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.70 : 427.84 = 154.80 : x
  2. Step 2: Convert to fraction form
    284.70/427.84 = 154.80/x
  3. Step 3: Cross multiply
    284.70x = 427.84 × 154.80
  4. Step 4: Simplify right side
    284.70x = 66,229.63
  5. Step 5: Solve for x
    x = 66,229.63/284.70
  6. Step 6: Final answer
    x = 232.63

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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.