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Finding the Fourth Proportional to 357, 535.50 and 140.64

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Solution

The fourth proportional to 357, 535.50 and 140.64 is: 210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357 : 535.50 = 140.64 : x
  2. Step 2: Convert to fraction form
    357/535.50 = 140.64/x
  3. Step 3: Cross multiply
    357x = 535.50 × 140.64
  4. Step 4: Simplify right side
    357x = 75,312.72
  5. Step 5: Solve for x
    x = 75,312.72/357
  6. Step 6: Final answer
    x = 210.96

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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.