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Finding the Fourth Proportional to 284.96, 427.66 and 175.38

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Solution

The fourth proportional to 284.96, 427.66 and 175.38 is: 263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.96 : 427.66 = 175.38 : x
  2. Step 2: Convert to fraction form
    284.96/427.66 = 175.38/x
  3. Step 3: Cross multiply
    284.96x = 427.66 × 175.38
  4. Step 4: Simplify right side
    284.96x = 75,003.01
  5. Step 5: Solve for x
    x = 75,003.01/284.96
  6. Step 6: Final answer
    x = 263.21

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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.