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Finding the Fourth Proportional to 357.31, 536.05 and 151.88

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Solution

The fourth proportional to 357.31, 536.05 and 151.88 is: 227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.31 : 536.05 = 151.88 : x
  2. Step 2: Convert to fraction form
    357.31/536.05 = 151.88/x
  3. Step 3: Cross multiply
    357.31x = 536.05 × 151.88
  4. Step 4: Simplify right side
    357.31x = 81,415.27
  5. Step 5: Solve for x
    x = 81,415.27/357.31
  6. Step 6: Final answer
    x = 227.86

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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.