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Finding the Fourth Proportional to 282.93, 390.19 and 184.83

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Solution

The fourth proportional to 282.93, 390.19 and 184.83 is: 254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 390.19 = 184.83 : x
  2. Step 2: Convert to fraction form
    282.93/390.19 = 184.83/x
  3. Step 3: Cross multiply
    282.93x = 390.19 × 184.83
  4. Step 4: Simplify right side
    282.93x = 72,118.82
  5. Step 5: Solve for x
    x = 72,118.82/282.93
  6. Step 6: Final answer
    x = 254.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.