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Finding the Fourth Proportional to 364.57, 546.90 and 121.06

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Solution

The fourth proportional to 364.57, 546.90 and 121.06 is: 181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 546.90 = 121.06 : x
  2. Step 2: Convert to fraction form
    364.57/546.90 = 121.06/x
  3. Step 3: Cross multiply
    364.57x = 546.90 × 121.06
  4. Step 4: Simplify right side
    364.57x = 66,207.71
  5. Step 5: Solve for x
    x = 66,207.71/364.57
  6. Step 6: Final answer
    x = 181.60

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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.