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Finding the Fourth Proportional to 374.63, 561.74 and 189.34

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Solution

The fourth proportional to 374.63, 561.74 and 189.34 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.63 : 561.74 = 189.34 : x
  2. Step 2: Convert to fraction form
    374.63/561.74 = 189.34/x
  3. Step 3: Cross multiply
    374.63x = 561.74 × 189.34
  4. Step 4: Simplify right side
    374.63x = 106,357.50
  5. Step 5: Solve for x
    x = 106,357.50/374.63
  6. Step 6: Final answer
    x = 283.90

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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.