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Finding the Fourth Proportional to 374.98, 562.38 and 237.82

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Solution

The fourth proportional to 374.98, 562.38 and 237.82 is: 356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.98 : 562.38 = 237.82 : x
  2. Step 2: Convert to fraction form
    374.98/562.38 = 237.82/x
  3. Step 3: Cross multiply
    374.98x = 562.38 × 237.82
  4. Step 4: Simplify right side
    374.98x = 133,745.21
  5. Step 5: Solve for x
    x = 133,745.21/374.98
  6. Step 6: Final answer
    x = 356.67

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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.