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Finding the Fourth Proportional to 350.63, 525.91 and 145.14

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Solution

The fourth proportional to 350.63, 525.91 and 145.14 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.63 : 525.91 = 145.14 : x
  2. Step 2: Convert to fraction form
    350.63/525.91 = 145.14/x
  3. Step 3: Cross multiply
    350.63x = 525.91 × 145.14
  4. Step 4: Simplify right side
    350.63x = 76,330.58
  5. Step 5: Solve for x
    x = 76,330.58/350.63
  6. Step 6: Final answer
    x = 217.70

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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.