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Finding the Fourth Proportional to 291.47, 402.13 and 193.12

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Solution

The fourth proportional to 291.47, 402.13 and 193.12 is: 266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 402.13 = 193.12 : x
  2. Step 2: Convert to fraction form
    291.47/402.13 = 193.12/x
  3. Step 3: Cross multiply
    291.47x = 402.13 × 193.12
  4. Step 4: Simplify right side
    291.47x = 77,658.58
  5. Step 5: Solve for x
    x = 77,658.58/291.47
  6. Step 6: Final answer
    x = 266.44

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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.