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Finding the Fourth Proportional to 282.70, 390.15 and 164.68

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Solution

The fourth proportional to 282.70, 390.15 and 164.68 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 390.15 = 164.68 : x
  2. Step 2: Convert to fraction form
    282.70/390.15 = 164.68/x
  3. Step 3: Cross multiply
    282.70x = 390.15 × 164.68
  4. Step 4: Simplify right side
    282.70x = 64,250.02
  5. Step 5: Solve for x
    x = 64,250.02/282.70
  6. Step 6: Final answer
    x = 227.28

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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.