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Finding the Fourth Proportional to 282.23, 389.54 and 165.83

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Solution

The fourth proportional to 282.23, 389.54 and 165.83 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 389.54 = 165.83 : x
  2. Step 2: Convert to fraction form
    282.23/389.54 = 165.83/x
  3. Step 3: Cross multiply
    282.23x = 389.54 × 165.83
  4. Step 4: Simplify right side
    282.23x = 64,597.42
  5. Step 5: Solve for x
    x = 64,597.42/282.23
  6. Step 6: Final answer
    x = 228.88

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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.