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Finding the Fourth Proportional to 284.88, 427.26 and 154.92

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Solution

The fourth proportional to 284.88, 427.26 and 154.92 is: 232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 427.26 = 154.92 : x
  2. Step 2: Convert to fraction form
    284.88/427.26 = 154.92/x
  3. Step 3: Cross multiply
    284.88x = 427.26 × 154.92
  4. Step 4: Simplify right side
    284.88x = 66,191.12
  5. Step 5: Solve for x
    x = 66,191.12/284.88
  6. Step 6: Final answer
    x = 232.35

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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.