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Finding the Fourth Proportional to 292.02, 403.02 and 193.74

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Solution

The fourth proportional to 292.02, 403.02 and 193.74 is: 267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 403.02 = 193.74 : x
  2. Step 2: Convert to fraction form
    292.02/403.02 = 193.74/x
  3. Step 3: Cross multiply
    292.02x = 403.02 × 193.74
  4. Step 4: Simplify right side
    292.02x = 78,081.09
  5. Step 5: Solve for x
    x = 78,081.09/292.02
  6. Step 6: Final answer
    x = 267.38

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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.