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Finding the Fourth Proportional to 282.78, 390.21 and 184.32

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Solution

The fourth proportional to 282.78, 390.21 and 184.32 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 390.21 = 184.32 : x
  2. Step 2: Convert to fraction form
    282.78/390.21 = 184.32/x
  3. Step 3: Cross multiply
    282.78x = 390.21 × 184.32
  4. Step 4: Simplify right side
    282.78x = 71,923.51
  5. Step 5: Solve for x
    x = 71,923.51/282.78
  6. Step 6: Final answer
    x = 254.34

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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.