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Finding the Fourth Proportional to 374.49, 561.78 and 169.20

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Solution

The fourth proportional to 374.49, 561.78 and 169.20 is: 253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.49 : 561.78 = 169.20 : x
  2. Step 2: Convert to fraction form
    374.49/561.78 = 169.20/x
  3. Step 3: Cross multiply
    374.49x = 561.78 × 169.20
  4. Step 4: Simplify right side
    374.49x = 95,053.18
  5. Step 5: Solve for x
    x = 95,053.18/374.49
  6. Step 6: Final answer
    x = 253.82

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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.