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Finding the Fourth Proportional to 364.11, 546.14 and 117.29

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Solution

The fourth proportional to 364.11, 546.14 and 117.29 is: 175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.11 : 546.14 = 117.29 : x
  2. Step 2: Convert to fraction form
    364.11/546.14 = 117.29/x
  3. Step 3: Cross multiply
    364.11x = 546.14 × 117.29
  4. Step 4: Simplify right side
    364.11x = 64,053.44
  5. Step 5: Solve for x
    x = 64,053.44/364.11
  6. Step 6: Final answer
    x = 175.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.