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Finding the Fourth Proportional to 374.14, 561.26 and 142.98

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Solution

The fourth proportional to 374.14, 561.26 and 142.98 is: 214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.14 : 561.26 = 142.98 : x
  2. Step 2: Convert to fraction form
    374.14/561.26 = 142.98/x
  3. Step 3: Cross multiply
    374.14x = 561.26 × 142.98
  4. Step 4: Simplify right side
    374.14x = 80,248.95
  5. Step 5: Solve for x
    x = 80,248.95/374.14
  6. Step 6: Final answer
    x = 214.49

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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.