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Finding the Fourth Proportional to 357.70, 536.70 and 175.27

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Solution

The fourth proportional to 357.70, 536.70 and 175.27 is: 262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.70 : 536.70 = 175.27 : x
  2. Step 2: Convert to fraction form
    357.70/536.70 = 175.27/x
  3. Step 3: Cross multiply
    357.70x = 536.70 × 175.27
  4. Step 4: Simplify right side
    357.70x = 94,067.41
  5. Step 5: Solve for x
    x = 94,067.41/357.70
  6. Step 6: Final answer
    x = 262.98

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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.