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Finding the Fourth Proportional to 332.06, 458.13 and 192.14

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Solution

The fourth proportional to 332.06, 458.13 and 192.14 is: 265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.06 : 458.13 = 192.14 : x
  2. Step 2: Convert to fraction form
    332.06/458.13 = 192.14/x
  3. Step 3: Cross multiply
    332.06x = 458.13 × 192.14
  4. Step 4: Simplify right side
    332.06x = 88,025.10
  5. Step 5: Solve for x
    x = 88,025.10/332.06
  6. Step 6: Final answer
    x = 265.09

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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.