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Finding the Fourth Proportional to 264.01, 395.83 and 109.93

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Solution

The fourth proportional to 264.01, 395.83 and 109.93 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.01 : 395.83 = 109.93 : x
  2. Step 2: Convert to fraction form
    264.01/395.83 = 109.93/x
  3. Step 3: Cross multiply
    264.01x = 395.83 × 109.93
  4. Step 4: Simplify right side
    264.01x = 43,513.59
  5. Step 5: Solve for x
    x = 43,513.59/264.01
  6. Step 6: Final answer
    x = 164.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.