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Finding the Fourth Proportional to 357.18, 536.08 and 140.92

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Solution

The fourth proportional to 357.18, 536.08 and 140.92 is: 211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.18 : 536.08 = 140.92 : x
  2. Step 2: Convert to fraction form
    357.18/536.08 = 140.92/x
  3. Step 3: Cross multiply
    357.18x = 536.08 × 140.92
  4. Step 4: Simplify right side
    357.18x = 75,544.39
  5. Step 5: Solve for x
    x = 75,544.39/357.18
  6. Step 6: Final answer
    x = 211.50

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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.