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Finding the Fourth Proportional to 364.07, 546.10 and 117.27

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Solution

The fourth proportional to 364.07, 546.10 and 117.27 is: 175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.07 : 546.10 = 117.27 : x
  2. Step 2: Convert to fraction form
    364.07/546.10 = 117.27/x
  3. Step 3: Cross multiply
    364.07x = 546.10 × 117.27
  4. Step 4: Simplify right side
    364.07x = 64,040.85
  5. Step 5: Solve for x
    x = 64,040.85/364.07
  6. Step 6: Final answer
    x = 175.90

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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.