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Finding the Fourth Proportional to 357.64, 535.92 and 141.16

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Solution

The fourth proportional to 357.64, 535.92 and 141.16 is: 211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.64 : 535.92 = 141.16 : x
  2. Step 2: Convert to fraction form
    357.64/535.92 = 141.16/x
  3. Step 3: Cross multiply
    357.64x = 535.92 × 141.16
  4. Step 4: Simplify right side
    357.64x = 75,650.47
  5. Step 5: Solve for x
    x = 75,650.47/357.64
  6. Step 6: Final answer
    x = 211.53

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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.