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Finding the Fourth Proportional to 282.78, 390.24 and 158.46

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Solution

The fourth proportional to 282.78, 390.24 and 158.46 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 390.24 = 158.46 : x
  2. Step 2: Convert to fraction form
    282.78/390.24 = 158.46/x
  3. Step 3: Cross multiply
    282.78x = 390.24 × 158.46
  4. Step 4: Simplify right side
    282.78x = 61,837.43
  5. Step 5: Solve for x
    x = 61,837.43/282.78
  6. Step 6: Final answer
    x = 218.68

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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.