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Finding the Fourth Proportional to 374.42, 561.34 and 179.32

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Solution

The fourth proportional to 374.42, 561.34 and 179.32 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.42 : 561.34 = 179.32 : x
  2. Step 2: Convert to fraction form
    374.42/561.34 = 179.32/x
  3. Step 3: Cross multiply
    374.42x = 561.34 × 179.32
  4. Step 4: Simplify right side
    374.42x = 100,659.49
  5. Step 5: Solve for x
    x = 100,659.49/374.42
  6. Step 6: Final answer
    x = 268.84

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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.