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Finding the Fourth Proportional to 285.28, 427.64 and 102.58

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Solution

The fourth proportional to 285.28, 427.64 and 102.58 is: 153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 427.64 = 102.58 : x
  2. Step 2: Convert to fraction form
    285.28/427.64 = 102.58/x
  3. Step 3: Cross multiply
    285.28x = 427.64 × 102.58
  4. Step 4: Simplify right side
    285.28x = 43,865.73
  5. Step 5: Solve for x
    x = 43,865.73/285.28
  6. Step 6: Final answer
    x = 153.77

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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.