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Finding the Fourth Proportional to 374.78, 562.30 and 192.31

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Solution

The fourth proportional to 374.78, 562.30 and 192.31 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.78 : 562.30 = 192.31 : x
  2. Step 2: Convert to fraction form
    374.78/562.30 = 192.31/x
  3. Step 3: Cross multiply
    374.78x = 562.30 × 192.31
  4. Step 4: Simplify right side
    374.78x = 108,135.91
  5. Step 5: Solve for x
    x = 108,135.91/374.78
  6. Step 6: Final answer
    x = 288.53

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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.