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Finding the Fourth Proportional to 282.76, 390.14 and 184.52

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Solution

The fourth proportional to 282.76, 390.14 and 184.52 is: 254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 390.14 = 184.52 : x
  2. Step 2: Convert to fraction form
    282.76/390.14 = 184.52/x
  3. Step 3: Cross multiply
    282.76x = 390.14 × 184.52
  4. Step 4: Simplify right side
    282.76x = 71,988.63
  5. Step 5: Solve for x
    x = 71,988.63/282.76
  6. Step 6: Final answer
    x = 254.59

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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.