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Finding the Fourth Proportional to 264.10, 364.59 and 175.73

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Solution

The fourth proportional to 264.10, 364.59 and 175.73 is: 242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.10 : 364.59 = 175.73 : x
  2. Step 2: Convert to fraction form
    264.10/364.59 = 175.73/x
  3. Step 3: Cross multiply
    264.10x = 364.59 × 175.73
  4. Step 4: Simplify right side
    264.10x = 64,067.78
  5. Step 5: Solve for x
    x = 64,067.78/264.10
  6. Step 6: Final answer
    x = 242.59

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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.