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Finding the Fourth Proportional to 332.57, 458.94 and 192.71

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Solution

The fourth proportional to 332.57, 458.94 and 192.71 is: 265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.57 : 458.94 = 192.71 : x
  2. Step 2: Convert to fraction form
    332.57/458.94 = 192.71/x
  3. Step 3: Cross multiply
    332.57x = 458.94 × 192.71
  4. Step 4: Simplify right side
    332.57x = 88,444.81
  5. Step 5: Solve for x
    x = 88,444.81/332.57
  6. Step 6: Final answer
    x = 265.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.