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Finding the Fourth Proportional to 264.01, 364.42 and 165.82

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Solution

The fourth proportional to 264.01, 364.42 and 165.82 is: 228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.01 : 364.42 = 165.82 : x
  2. Step 2: Convert to fraction form
    264.01/364.42 = 165.82/x
  3. Step 3: Cross multiply
    264.01x = 364.42 × 165.82
  4. Step 4: Simplify right side
    264.01x = 60,429.60
  5. Step 5: Solve for x
    x = 60,429.60/264.01
  6. Step 6: Final answer
    x = 228.89

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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.