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Finding the Fourth Proportional to 285.84, 428.39 and 155.90

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Solution

The fourth proportional to 285.84, 428.39 and 155.90 is: 233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 428.39 = 155.90 : x
  2. Step 2: Convert to fraction form
    285.84/428.39 = 155.90/x
  3. Step 3: Cross multiply
    285.84x = 428.39 × 155.90
  4. Step 4: Simplify right side
    285.84x = 66,783.08
  5. Step 5: Solve for x
    x = 66,783.08/285.84
  6. Step 6: Final answer
    x = 233.64

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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.