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Finding the Fourth Proportional to 350.87, 526.15 and 186.30

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Solution

The fourth proportional to 350.87, 526.15 and 186.30 is: 279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.87 : 526.15 = 186.30 : x
  2. Step 2: Convert to fraction form
    350.87/526.15 = 186.30/x
  3. Step 3: Cross multiply
    350.87x = 526.15 × 186.30
  4. Step 4: Simplify right side
    350.87x = 98,021.32
  5. Step 5: Solve for x
    x = 98,021.32/350.87
  6. Step 6: Final answer
    x = 279.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.