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Finding the Fourth Proportional to 350.77, 526.20 and 145.39

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Solution

The fourth proportional to 350.77, 526.20 and 145.39 is: 218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.77 : 526.20 = 145.39 : x
  2. Step 2: Convert to fraction form
    350.77/526.20 = 145.39/x
  3. Step 3: Cross multiply
    350.77x = 526.20 × 145.39
  4. Step 4: Simplify right side
    350.77x = 76,504.22
  5. Step 5: Solve for x
    x = 76,504.22/350.77
  6. Step 6: Final answer
    x = 218.10

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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.