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Finding the Fourth Proportional to 282.35, 423.70 and 166.89

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Solution

The fourth proportional to 282.35, 423.70 and 166.89 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.35 : 423.70 = 166.89 : x
  2. Step 2: Convert to fraction form
    282.35/423.70 = 166.89/x
  3. Step 3: Cross multiply
    282.35x = 423.70 × 166.89
  4. Step 4: Simplify right side
    282.35x = 70,712.46
  5. Step 5: Solve for x
    x = 70,712.46/282.35
  6. Step 6: Final answer
    x = 250.44

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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.