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Finding the Fourth Proportional to 357.35, 535.14 and 174.15

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Solution

The fourth proportional to 357.35, 535.14 and 174.15 is: 260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 535.14 = 174.15 : x
  2. Step 2: Convert to fraction form
    357.35/535.14 = 174.15/x
  3. Step 3: Cross multiply
    357.35x = 535.14 × 174.15
  4. Step 4: Simplify right side
    357.35x = 93,194.63
  5. Step 5: Solve for x
    x = 93,194.63/357.35
  6. Step 6: Final answer
    x = 260.80

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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.