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Finding the Fourth Proportional to 350.42, 525.75 and 145.39

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Solution

The fourth proportional to 350.42, 525.75 and 145.39 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.42 : 525.75 = 145.39 : x
  2. Step 2: Convert to fraction form
    350.42/525.75 = 145.39/x
  3. Step 3: Cross multiply
    350.42x = 525.75 × 145.39
  4. Step 4: Simplify right side
    350.42x = 76,435.44
  5. Step 5: Solve for x
    x = 76,435.44/350.42
  6. Step 6: Final answer
    x = 218.13

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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.