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Finding the Fourth Proportional to 374.22, 561.42 and 130.77

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Solution

The fourth proportional to 374.22, 561.42 and 130.77 is: 196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.22 : 561.42 = 130.77 : x
  2. Step 2: Convert to fraction form
    374.22/561.42 = 130.77/x
  3. Step 3: Cross multiply
    374.22x = 561.42 × 130.77
  4. Step 4: Simplify right side
    374.22x = 73,416.89
  5. Step 5: Solve for x
    x = 73,416.89/374.22
  6. Step 6: Final answer
    x = 196.19

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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.