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Finding the Fourth Proportional to 374.39, 561.64 and 130.86

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Solution

The fourth proportional to 374.39, 561.64 and 130.86 is: 196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.39 : 561.64 = 130.86 : x
  2. Step 2: Convert to fraction form
    374.39/561.64 = 130.86/x
  3. Step 3: Cross multiply
    374.39x = 561.64 × 130.86
  4. Step 4: Simplify right side
    374.39x = 73,496.21
  5. Step 5: Solve for x
    x = 73,496.21/374.39
  6. Step 6: Final answer
    x = 196.31

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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.