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Finding the Fourth Proportional to 364.67, 546.88 and 145.19

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Solution

The fourth proportional to 364.67, 546.88 and 145.19 is: 217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.67 : 546.88 = 145.19 : x
  2. Step 2: Convert to fraction form
    364.67/546.88 = 145.19/x
  3. Step 3: Cross multiply
    364.67x = 546.88 × 145.19
  4. Step 4: Simplify right side
    364.67x = 79,401.51
  5. Step 5: Solve for x
    x = 79,401.51/364.67
  6. Step 6: Final answer
    x = 217.74

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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.