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Finding the Fourth Proportional to 357.24, 535.91 and 126.08

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Solution

The fourth proportional to 357.24, 535.91 and 126.08 is: 189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 535.91 = 126.08 : x
  2. Step 2: Convert to fraction form
    357.24/535.91 = 126.08/x
  3. Step 3: Cross multiply
    357.24x = 535.91 × 126.08
  4. Step 4: Simplify right side
    357.24x = 67,564.22
  5. Step 5: Solve for x
    x = 67,564.22/357.24
  6. Step 6: Final answer
    x = 189.13

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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.