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Finding the Fourth Proportional to 332.05, 458.14 and 192.18

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Solution

The fourth proportional to 332.05, 458.14 and 192.18 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.05 : 458.14 = 192.18 : x
  2. Step 2: Convert to fraction form
    332.05/458.14 = 192.18/x
  3. Step 3: Cross multiply
    332.05x = 458.14 × 192.18
  4. Step 4: Simplify right side
    332.05x = 88,045.35
  5. Step 5: Solve for x
    x = 88,045.35/332.05
  6. Step 6: Final answer
    x = 265.16

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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.