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Finding the Fourth Proportional to 350.89, 526.39 and 145.47

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Solution

The fourth proportional to 350.89, 526.39 and 145.47 is: 218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.89 : 526.39 = 145.47 : x
  2. Step 2: Convert to fraction form
    350.89/526.39 = 145.47/x
  3. Step 3: Cross multiply
    350.89x = 526.39 × 145.47
  4. Step 4: Simplify right side
    350.89x = 76,573.42
  5. Step 5: Solve for x
    x = 76,573.42/350.89
  6. Step 6: Final answer
    x = 218.23

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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.