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Finding the Fourth Proportional to 357, 492.65 and 199.61

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Solution

The fourth proportional to 357, 492.65 and 199.61 is: 275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357 : 492.65 = 199.61 : x
  2. Step 2: Convert to fraction form
    357/492.65 = 199.61/x
  3. Step 3: Cross multiply
    357x = 492.65 × 199.61
  4. Step 4: Simplify right side
    357x = 98,337.87
  5. Step 5: Solve for x
    x = 98,337.87/357
  6. Step 6: Final answer
    x = 275.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.