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Finding the Fourth Proportional to 263.88, 364.24 and 175.32

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Solution

The fourth proportional to 263.88, 364.24 and 175.32 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 364.24 = 175.32 : x
  2. Step 2: Convert to fraction form
    263.88/364.24 = 175.32/x
  3. Step 3: Cross multiply
    263.88x = 364.24 × 175.32
  4. Step 4: Simplify right side
    263.88x = 63,858.56
  5. Step 5: Solve for x
    x = 63,858.56/263.88
  6. Step 6: Final answer
    x = 242.00

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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.