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Finding the Fourth Proportional to 264.21, 364.73 and 165.93

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Solution

The fourth proportional to 264.21, 364.73 and 165.93 is: 229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.21 : 364.73 = 165.93 : x
  2. Step 2: Convert to fraction form
    264.21/364.73 = 165.93/x
  3. Step 3: Cross multiply
    264.21x = 364.73 × 165.93
  4. Step 4: Simplify right side
    264.21x = 60,518.82
  5. Step 5: Solve for x
    x = 60,518.82/264.21
  6. Step 6: Final answer
    x = 229.06

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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.