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Finding the Fourth Proportional to 374.58, 562.23 and 182.34

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Solution

The fourth proportional to 374.58, 562.23 and 182.34 is: 273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.58 : 562.23 = 182.34 : x
  2. Step 2: Convert to fraction form
    374.58/562.23 = 182.34/x
  3. Step 3: Cross multiply
    374.58x = 562.23 × 182.34
  4. Step 4: Simplify right side
    374.58x = 102,517.02
  5. Step 5: Solve for x
    x = 102,517.02/374.58
  6. Step 6: Final answer
    x = 273.69

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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.