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Finding the Fourth Proportional to 282.83, 390.27 and 164.84

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Solution

The fourth proportional to 282.83, 390.27 and 164.84 is: 227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.83 : 390.27 = 164.84 : x
  2. Step 2: Convert to fraction form
    282.83/390.27 = 164.84/x
  3. Step 3: Cross multiply
    282.83x = 390.27 × 164.84
  4. Step 4: Simplify right side
    282.83x = 64,332.11
  5. Step 5: Solve for x
    x = 64,332.11/282.83
  6. Step 6: Final answer
    x = 227.46

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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.