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Finding the Fourth Proportional to 350.34, 525.63 and 176.92

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Solution

The fourth proportional to 350.34, 525.63 and 176.92 is: 265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.34 : 525.63 = 176.92 : x
  2. Step 2: Convert to fraction form
    350.34/525.63 = 176.92/x
  3. Step 3: Cross multiply
    350.34x = 525.63 × 176.92
  4. Step 4: Simplify right side
    350.34x = 92,993.58
  5. Step 5: Solve for x
    x = 92,993.58/350.34
  6. Step 6: Final answer
    x = 265.44

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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.