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Finding the Fourth Proportional to 364.17, 546.26 and 147.77

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Solution

The fourth proportional to 364.17, 546.26 and 147.77 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 546.26 = 147.77 : x
  2. Step 2: Convert to fraction form
    364.17/546.26 = 147.77/x
  3. Step 3: Cross multiply
    364.17x = 546.26 × 147.77
  4. Step 4: Simplify right side
    364.17x = 80,720.10
  5. Step 5: Solve for x
    x = 80,720.10/364.17
  6. Step 6: Final answer
    x = 221.66

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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.