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Finding the Fourth Proportional to 282.83, 390.27 and 158.48

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Solution

The fourth proportional to 282.83, 390.27 and 158.48 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.83 : 390.27 = 158.48 : x
  2. Step 2: Convert to fraction form
    282.83/390.27 = 158.48/x
  3. Step 3: Cross multiply
    282.83x = 390.27 × 158.48
  4. Step 4: Simplify right side
    282.83x = 61,848.63
  5. Step 5: Solve for x
    x = 61,848.63/282.83
  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.