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Finding the Fourth Proportional to 357.91, 537.01 and 141.64

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Solution

The fourth proportional to 357.91, 537.01 and 141.64 is: 212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.91 : 537.01 = 141.64 : x
  2. Step 2: Convert to fraction form
    357.91/537.01 = 141.64/x
  3. Step 3: Cross multiply
    357.91x = 537.01 × 141.64
  4. Step 4: Simplify right side
    357.91x = 76,062.10
  5. Step 5: Solve for x
    x = 76,062.10/357.91
  6. Step 6: Final answer
    x = 212.52

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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.