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Finding the Fourth Proportional to 282.82, 424.23 and 185.93

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Solution

The fourth proportional to 282.82, 424.23 and 185.93 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.82 : 424.23 = 185.93 : x
  2. Step 2: Convert to fraction form
    282.82/424.23 = 185.93/x
  3. Step 3: Cross multiply
    282.82x = 424.23 × 185.93
  4. Step 4: Simplify right side
    282.82x = 78,878.14
  5. Step 5: Solve for x
    x = 78,878.14/282.82
  6. Step 6: Final answer
    x = 278.90

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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.