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Finding the Fourth Proportional to 364.95, 547.46 and 169.94

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Solution

The fourth proportional to 364.95, 547.46 and 169.94 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 547.46 = 169.94 : x
  2. Step 2: Convert to fraction form
    364.95/547.46 = 169.94/x
  3. Step 3: Cross multiply
    364.95x = 547.46 × 169.94
  4. Step 4: Simplify right side
    364.95x = 93,031.77
  5. Step 5: Solve for x
    x = 93,031.77/364.95
  6. Step 6: Final answer
    x = 254.92

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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.