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Finding the Fourth Proportional to 194.12, 292.50 and 160.63

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Solution

The fourth proportional to 194.12, 292.50 and 160.63 is: 242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 292.50 = 160.63 : x
  2. Step 2: Convert to fraction form
    194.12/292.50 = 160.63/x
  3. Step 3: Cross multiply
    194.12x = 292.50 × 160.63
  4. Step 4: Simplify right side
    194.12x = 46,984.74
  5. Step 5: Solve for x
    x = 46,984.74/194.12
  6. Step 6: Final answer
    x = 242.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.