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Finding the Fourth Proportional to 374.94, 562.65 and 192.24

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Solution

The fourth proportional to 374.94, 562.65 and 192.24 is: 288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.94 : 562.65 = 192.24 : x
  2. Step 2: Convert to fraction form
    374.94/562.65 = 192.24/x
  3. Step 3: Cross multiply
    374.94x = 562.65 × 192.24
  4. Step 4: Simplify right side
    374.94x = 108,163.84
  5. Step 5: Solve for x
    x = 108,163.84/374.94
  6. Step 6: Final answer
    x = 288.48

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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.