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Finding the Fourth Proportional to 285, 427.52 and 102.40

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Solution

The fourth proportional to 285, 427.52 and 102.40 is: 153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 427.52 = 102.40 : x
  2. Step 2: Convert to fraction form
    285/427.52 = 102.40/x
  3. Step 3: Cross multiply
    285x = 427.52 × 102.40
  4. Step 4: Simplify right side
    285x = 43,778.05
  5. Step 5: Solve for x
    x = 43,778.05/285
  6. Step 6: Final answer
    x = 153.61

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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.