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Finding the Fourth Proportional to 350.77, 526.16 and 119.65

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Solution

The fourth proportional to 350.77, 526.16 and 119.65 is: 179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.77 : 526.16 = 119.65 : x
  2. Step 2: Convert to fraction form
    350.77/526.16 = 119.65/x
  3. Step 3: Cross multiply
    350.77x = 526.16 × 119.65
  4. Step 4: Simplify right side
    350.77x = 62,954.03
  5. Step 5: Solve for x
    x = 62,954.03/350.77
  6. Step 6: Final answer
    x = 179.48

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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.