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Finding the Fourth Proportional to 332.02, 458.17 and 192.14

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Solution

The fourth proportional to 332.02, 458.17 and 192.14 is: 265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.02 : 458.17 = 192.14 : x
  2. Step 2: Convert to fraction form
    332.02/458.17 = 192.14/x
  3. Step 3: Cross multiply
    332.02x = 458.17 × 192.14
  4. Step 4: Simplify right side
    332.02x = 88,031.82
  5. Step 5: Solve for x
    x = 88,031.82/332.02
  6. Step 6: Final answer
    x = 265.14

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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.