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Finding the Fourth Proportional to 292.47, 403.51 and 194.12

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Solution

The fourth proportional to 292.47, 403.51 and 194.12 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.47 : 403.51 = 194.12 : x
  2. Step 2: Convert to fraction form
    292.47/403.51 = 194.12/x
  3. Step 3: Cross multiply
    292.47x = 403.51 × 194.12
  4. Step 4: Simplify right side
    292.47x = 78,329.36
  5. Step 5: Solve for x
    x = 78,329.36/292.47
  6. Step 6: Final answer
    x = 267.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.