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Finding the Fourth Proportional to 285.76, 428.32 and 190.08

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Solution

The fourth proportional to 285.76, 428.32 and 190.08 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.76 : 428.32 = 190.08 : x
  2. Step 2: Convert to fraction form
    285.76/428.32 = 190.08/x
  3. Step 3: Cross multiply
    285.76x = 428.32 × 190.08
  4. Step 4: Simplify right side
    285.76x = 81,415.07
  5. Step 5: Solve for x
    x = 81,415.07/285.76
  6. Step 6: Final answer
    x = 284.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.