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Finding the Fourth Proportional to 364.59, 546.69 and 190.84

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Solution

The fourth proportional to 364.59, 546.69 and 190.84 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 546.69 = 190.84 : x
  2. Step 2: Convert to fraction form
    364.59/546.69 = 190.84/x
  3. Step 3: Cross multiply
    364.59x = 546.69 × 190.84
  4. Step 4: Simplify right side
    364.59x = 104,330.32
  5. Step 5: Solve for x
    x = 104,330.32/364.59
  6. Step 6: Final answer
    x = 286.16

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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.