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Finding the Fourth Proportional to 332.16, 458.42 and 192.24

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Solution

The fourth proportional to 332.16, 458.42 and 192.24 is: 265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 458.42 = 192.24 : x
  2. Step 2: Convert to fraction form
    332.16/458.42 = 192.24/x
  3. Step 3: Cross multiply
    332.16x = 458.42 × 192.24
  4. Step 4: Simplify right side
    332.16x = 88,126.66
  5. Step 5: Solve for x
    x = 88,126.66/332.16
  6. Step 6: Final answer
    x = 265.31

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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.