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Finding the Fourth Proportional to 357.66, 536.18 and 141.40

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Solution

The fourth proportional to 357.66, 536.18 and 141.40 is: 211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.66 : 536.18 = 141.40 : x
  2. Step 2: Convert to fraction form
    357.66/536.18 = 141.40/x
  3. Step 3: Cross multiply
    357.66x = 536.18 × 141.40
  4. Step 4: Simplify right side
    357.66x = 75,815.85
  5. Step 5: Solve for x
    x = 75,815.85/357.66
  6. Step 6: Final answer
    x = 211.98

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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.