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Finding the Fourth Proportional to 374.98, 562.52 and 192.42

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Solution

The fourth proportional to 374.98, 562.52 and 192.42 is: 288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.98 : 562.52 = 192.42 : x
  2. Step 2: Convert to fraction form
    374.98/562.52 = 192.42/x
  3. Step 3: Cross multiply
    374.98x = 562.52 × 192.42
  4. Step 4: Simplify right side
    374.98x = 108,239.14
  5. Step 5: Solve for x
    x = 108,239.14/374.98
  6. Step 6: Final answer
    x = 288.66

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