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Finding the Fourth Proportional to 283.54, 424.64 and 185.98

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Solution

The fourth proportional to 283.54, 424.64 and 185.98 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.54 : 424.64 = 185.98 : x
  2. Step 2: Convert to fraction form
    283.54/424.64 = 185.98/x
  3. Step 3: Cross multiply
    283.54x = 424.64 × 185.98
  4. Step 4: Simplify right side
    283.54x = 78,974.55
  5. Step 5: Solve for x
    x = 78,974.55/283.54
  6. Step 6: Final answer
    x = 278.53

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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.