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Finding the Fourth Proportional to 364.34, 546.25 and 191.11

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Solution

The fourth proportional to 364.34, 546.25 and 191.11 is: 286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 546.25 = 191.11 : x
  2. Step 2: Convert to fraction form
    364.34/546.25 = 191.11/x
  3. Step 3: Cross multiply
    364.34x = 546.25 × 191.11
  4. Step 4: Simplify right side
    364.34x = 104,393.84
  5. Step 5: Solve for x
    x = 104,393.84/364.34
  6. Step 6: Final answer
    x = 286.53

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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.