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Finding the Fourth Proportional to 350.87, 525.69 and 188.46

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Solution

The fourth proportional to 350.87, 525.69 and 188.46 is: 282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.87 : 525.69 = 188.46 : x
  2. Step 2: Convert to fraction form
    350.87/525.69 = 188.46/x
  3. Step 3: Cross multiply
    350.87x = 525.69 × 188.46
  4. Step 4: Simplify right side
    350.87x = 99,071.54
  5. Step 5: Solve for x
    x = 99,071.54/350.87
  6. Step 6: Final answer
    x = 282.36

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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.