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Finding the Fourth Proportional to 364.19, 546.16 and 120.66

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Solution

The fourth proportional to 364.19, 546.16 and 120.66 is: 180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.19 : 546.16 = 120.66 : x
  2. Step 2: Convert to fraction form
    364.19/546.16 = 120.66/x
  3. Step 3: Cross multiply
    364.19x = 546.16 × 120.66
  4. Step 4: Simplify right side
    364.19x = 65,899.67
  5. Step 5: Solve for x
    x = 65,899.67/364.19
  6. Step 6: Final answer
    x = 180.95

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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.