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Finding the Fourth Proportional to 332.47, 458.88 and 192.66

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Solution

The fourth proportional to 332.47, 458.88 and 192.66 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.47 : 458.88 = 192.66 : x
  2. Step 2: Convert to fraction form
    332.47/458.88 = 192.66/x
  3. Step 3: Cross multiply
    332.47x = 458.88 × 192.66
  4. Step 4: Simplify right side
    332.47x = 88,407.82
  5. Step 5: Solve for x
    x = 88,407.82/332.47
  6. Step 6: Final answer
    x = 265.91

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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.