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Finding the Fourth Proportional to 282.75, 390.22 and 166.35

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Solution

The fourth proportional to 282.75, 390.22 and 166.35 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 390.22 = 166.35 : x
  2. Step 2: Convert to fraction form
    282.75/390.22 = 166.35/x
  3. Step 3: Cross multiply
    282.75x = 390.22 × 166.35
  4. Step 4: Simplify right side
    282.75x = 64,913.10
  5. Step 5: Solve for x
    x = 64,913.10/282.75
  6. Step 6: Final answer
    x = 229.58

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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.