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Finding the Fourth Proportional to 332.65, 459.02 and 192.74

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Solution

The fourth proportional to 332.65, 459.02 and 192.74 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.65 : 459.02 = 192.74 : x
  2. Step 2: Convert to fraction form
    332.65/459.02 = 192.74/x
  3. Step 3: Cross multiply
    332.65x = 459.02 × 192.74
  4. Step 4: Simplify right side
    332.65x = 88,470.55
  5. Step 5: Solve for x
    x = 88,470.55/332.65
  6. Step 6: Final answer
    x = 265.96

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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.