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Finding the Fourth Proportional to 175.37, 263.09 and 65.66

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Solution

The fourth proportional to 175.37, 263.09 and 65.66 is: 98.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 263.09 = 65.66 : x
  2. Step 2: Convert to fraction form
    175.37/263.09 = 65.66/x
  3. Step 3: Cross multiply
    175.37x = 263.09 × 65.66
  4. Step 4: Simplify right side
    175.37x = 17,275.31
  5. Step 5: Solve for x
    x = 17,275.31/175.37
  6. Step 6: Final answer
    x = 98.51

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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.