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Finding the Fourth Proportional to 350.74, 526.17 and 107.23

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Solution

The fourth proportional to 350.74, 526.17 and 107.23 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.74 : 526.17 = 107.23 : x
  2. Step 2: Convert to fraction form
    350.74/526.17 = 107.23/x
  3. Step 3: Cross multiply
    350.74x = 526.17 × 107.23
  4. Step 4: Simplify right side
    350.74x = 56,421.21
  5. Step 5: Solve for x
    x = 56,421.21/350.74
  6. Step 6: Final answer
    x = 160.86

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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.