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Finding the Fourth Proportional to 374.82, 562.38 and 192.28

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Solution

The fourth proportional to 374.82, 562.38 and 192.28 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.82 : 562.38 = 192.28 : x
  2. Step 2: Convert to fraction form
    374.82/562.38 = 192.28/x
  3. Step 3: Cross multiply
    374.82x = 562.38 × 192.28
  4. Step 4: Simplify right side
    374.82x = 108,134.43
  5. Step 5: Solve for x
    x = 108,134.43/374.82
  6. Step 6: Final answer
    x = 288.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.