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Finding the Fourth Proportional to 357.10, 535.68 and 174.28

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Solution

The fourth proportional to 357.10, 535.68 and 174.28 is: 261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.10 : 535.68 = 174.28 : x
  2. Step 2: Convert to fraction form
    357.10/535.68 = 174.28/x
  3. Step 3: Cross multiply
    357.10x = 535.68 × 174.28
  4. Step 4: Simplify right side
    357.10x = 93,358.31
  5. Step 5: Solve for x
    x = 93,358.31/357.10
  6. Step 6: Final answer
    x = 261.43

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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.