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Finding the Fourth Proportional to 285.31, 428.73 and 155.40

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Solution

The fourth proportional to 285.31, 428.73 and 155.40 is: 233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.31 : 428.73 = 155.40 : x
  2. Step 2: Convert to fraction form
    285.31/428.73 = 155.40/x
  3. Step 3: Cross multiply
    285.31x = 428.73 × 155.40
  4. Step 4: Simplify right side
    285.31x = 66,624.64
  5. Step 5: Solve for x
    x = 66,624.64/285.31
  6. Step 6: Final answer
    x = 233.52

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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.