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Finding the Fourth Proportional to 283.29, 424.53 and 161.25

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Solution

The fourth proportional to 283.29, 424.53 and 161.25 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.29 : 424.53 = 161.25 : x
  2. Step 2: Convert to fraction form
    283.29/424.53 = 161.25/x
  3. Step 3: Cross multiply
    283.29x = 424.53 × 161.25
  4. Step 4: Simplify right side
    283.29x = 68,455.46
  5. Step 5: Solve for x
    x = 68,455.46/283.29
  6. Step 6: Final answer
    x = 241.64

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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.