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Finding the Fourth Proportional to 282.86, 390.34 and 164.76

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Solution

The fourth proportional to 282.86, 390.34 and 164.76 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.86 : 390.34 = 164.76 : x
  2. Step 2: Convert to fraction form
    282.86/390.34 = 164.76/x
  3. Step 3: Cross multiply
    282.86x = 390.34 × 164.76
  4. Step 4: Simplify right side
    282.86x = 64,311.59
  5. Step 5: Solve for x
    x = 64,311.59/282.86
  6. Step 6: Final answer
    x = 227.36

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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.