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Finding the Fourth Proportional to 364.38, 546.61 and 117.61

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Solution

The fourth proportional to 364.38, 546.61 and 117.61 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 546.61 = 117.61 : x
  2. Step 2: Convert to fraction form
    364.38/546.61 = 117.61/x
  3. Step 3: Cross multiply
    364.38x = 546.61 × 117.61
  4. Step 4: Simplify right side
    364.38x = 64,286.80
  5. Step 5: Solve for x
    x = 64,286.80/364.38
  6. Step 6: Final answer
    x = 176.43

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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.