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Finding the Fourth Proportional to 374.49, 561.48 and 191.64

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Solution

The fourth proportional to 374.49, 561.48 and 191.64 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.49 : 561.48 = 191.64 : x
  2. Step 2: Convert to fraction form
    374.49/561.48 = 191.64/x
  3. Step 3: Cross multiply
    374.49x = 561.48 × 191.64
  4. Step 4: Simplify right side
    374.49x = 107,602.03
  5. Step 5: Solve for x
    x = 107,602.03/374.49
  6. Step 6: Final answer
    x = 287.33

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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.