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Finding the Fourth Proportional to 357.59, 535.19 and 192.82

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Solution

The fourth proportional to 357.59, 535.19 and 192.82 is: 288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.59 : 535.19 = 192.82 : x
  2. Step 2: Convert to fraction form
    357.59/535.19 = 192.82/x
  3. Step 3: Cross multiply
    357.59x = 535.19 × 192.82
  4. Step 4: Simplify right side
    357.59x = 103,192.66
  5. Step 5: Solve for x
    x = 103,192.66/357.59
  6. Step 6: Final answer
    x = 288.58

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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.