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Finding the Fourth Proportional to 364.85, 546.38 and 191.66

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Solution

The fourth proportional to 364.85, 546.38 and 191.66 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.85 : 546.38 = 191.66 : x
  2. Step 2: Convert to fraction form
    364.85/546.38 = 191.66/x
  3. Step 3: Cross multiply
    364.85x = 546.38 × 191.66
  4. Step 4: Simplify right side
    364.85x = 104,717.76
  5. Step 5: Solve for x
    x = 104,717.76/364.85
  6. Step 6: Final answer
    x = 287.02

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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.