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Finding the Fourth Proportional to 281.53, 421.89 and 160.03

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Solution

The fourth proportional to 281.53, 421.89 and 160.03 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 421.89 = 160.03 : x
  2. Step 2: Convert to fraction form
    281.53/421.89 = 160.03/x
  3. Step 3: Cross multiply
    281.53x = 421.89 × 160.03
  4. Step 4: Simplify right side
    281.53x = 67,515.06
  5. Step 5: Solve for x
    x = 67,515.06/281.53
  6. Step 6: Final answer
    x = 239.81

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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.