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Finding the Fourth Proportional to 365.13, 546.95 and 189.41

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Solution

The fourth proportional to 365.13, 546.95 and 189.41 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.13 : 546.95 = 189.41 : x
  2. Step 2: Convert to fraction form
    365.13/546.95 = 189.41/x
  3. Step 3: Cross multiply
    365.13x = 546.95 × 189.41
  4. Step 4: Simplify right side
    365.13x = 103,594.12
  5. Step 5: Solve for x
    x = 103,594.12/365.13
  6. Step 6: Final answer
    x = 283.72

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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.