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Finding the Fourth Proportional to 292.03, 403.12 and 193.93

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Solution

The fourth proportional to 292.03, 403.12 and 193.93 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.03 : 403.12 = 193.93 : x
  2. Step 2: Convert to fraction form
    292.03/403.12 = 193.93/x
  3. Step 3: Cross multiply
    292.03x = 403.12 × 193.93
  4. Step 4: Simplify right side
    292.03x = 78,177.06
  5. Step 5: Solve for x
    x = 78,177.06/292.03
  6. Step 6: Final answer
    x = 267.70

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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.